{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys\n",
    "sys.path.append(\"../..\")\n",
    "sys.path.append(\"..\")\n",
    "\n",
    "import hee\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.decomposition import PCA\n",
    "from collections import defaultdict\n",
    "import hypernetx as hnx"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "filepath = \"../../data/zoo/zoo.data\"\n",
    "he_names = [\n",
    "    \"animal_name\",\n",
    "    \"hair\",\n",
    "    \"feathers\",\n",
    "    \"eggs\",\n",
    "    \"milk\",\n",
    "    \"airborne\",\n",
    "    \"aquatic\",\n",
    "    \"predator\",\n",
    "    \"toothed\",\n",
    "    \"backbone\",\n",
    "    \"breathes\",\n",
    "    \"venomous\",\n",
    "    \"fins\",\n",
    "    \"legs\",\n",
    "    \"tail\",\n",
    "    \"domestic\",\n",
    "    \"catsize\",\n",
    "    \"type\"\n",
    "]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "filepath = \"../../data/mushroom/agaricus-lepiota.data\"\n",
    "he_names = [\n",
    "    \"edible/poisonous\",\n",
    "    \"cap-shape\",\n",
    "    \"cap-surface\",\n",
    "    \"cap-color\",\n",
    "    \"bruises\",\n",
    "    \"odor\",\n",
    "    \"gill-attachment\",\n",
    "    \"gill-spacing\",\n",
    "    \"gill-size\",\n",
    "    \"gill-color\",\n",
    "    \"stalk-shape\",\n",
    "    \"stalk-root\",\n",
    "    \"stalk-surface-above-ring\",\n",
    "    \"stalk-surface-below-ring\",\n",
    "    \"stalk-color-above-ring\",\n",
    "    \"stalk-color-below-ring\",\n",
    "    \"veil-type\",\n",
    "    \"veil-color\",\n",
    "    \"ring-number\",\n",
    "    \"ring-type\",\n",
    "    \"spore-print-color\",\n",
    "    \"population\",\n",
    "    \"habitat\"\n",
    "]\n",
    "\n",
    "df = pd.read_csv(filepath, names=he_names)\n",
    "\n",
    "hes2v = defaultdict(lambda: [])\n",
    "to_ignore = [\"edible/poisonous\", \"stalk-root\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>edible/poisonous</th>\n",
       "      <th>cap-shape</th>\n",
       "      <th>cap-surface</th>\n",
       "      <th>cap-color</th>\n",
       "      <th>bruises</th>\n",
       "      <th>odor</th>\n",
       "      <th>gill-attachment</th>\n",
       "      <th>gill-spacing</th>\n",
       "      <th>gill-size</th>\n",
       "      <th>gill-color</th>\n",
       "      <th>...</th>\n",
       "      <th>stalk-surface-below-ring</th>\n",
       "      <th>stalk-color-above-ring</th>\n",
       "      <th>stalk-color-below-ring</th>\n",
       "      <th>veil-type</th>\n",
       "      <th>veil-color</th>\n",
       "      <th>ring-number</th>\n",
       "      <th>ring-type</th>\n",
       "      <th>spore-print-color</th>\n",
       "      <th>population</th>\n",
       "      <th>habitat</th>\n",
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       "      <td>w</td>\n",
       "      <td>t</td>\n",
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       "      <td>w</td>\n",
       "      <td>w</td>\n",
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       "      <td>o</td>\n",
       "      <td>p</td>\n",
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       "      <td>s</td>\n",
       "      <td>u</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>e</td>\n",
       "      <td>x</td>\n",
       "      <td>s</td>\n",
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       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>e</td>\n",
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       "      <td>y</td>\n",
       "      <td>t</td>\n",
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       "      <td>...</td>\n",
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       "      <td>w</td>\n",
       "      <td>o</td>\n",
       "      <td>p</td>\n",
       "      <td>k</td>\n",
       "      <td>n</td>\n",
       "      <td>g</td>\n",
       "    </tr>\n",
       "    <tr>\n",
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       "      <td>w</td>\n",
       "      <td>t</td>\n",
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       "      <td>...</td>\n",
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       "      <td>w</td>\n",
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       "      <td>p</td>\n",
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       "      <td>o</td>\n",
       "      <td>p</td>\n",
       "      <td>k</td>\n",
       "      <td>n</td>\n",
       "      <td>m</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>e</td>\n",
       "      <td>b</td>\n",
       "      <td>y</td>\n",
       "      <td>w</td>\n",
       "      <td>t</td>\n",
       "      <td>l</td>\n",
       "      <td>f</td>\n",
       "      <td>c</td>\n",
       "      <td>b</td>\n",
       "      <td>n</td>\n",
       "      <td>...</td>\n",
       "      <td>s</td>\n",
       "      <td>w</td>\n",
       "      <td>w</td>\n",
       "      <td>p</td>\n",
       "      <td>w</td>\n",
       "      <td>o</td>\n",
       "      <td>p</td>\n",
       "      <td>n</td>\n",
       "      <td>s</td>\n",
       "      <td>m</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>p</td>\n",
       "      <td>x</td>\n",
       "      <td>y</td>\n",
       "      <td>w</td>\n",
       "      <td>t</td>\n",
       "      <td>p</td>\n",
       "      <td>f</td>\n",
       "      <td>c</td>\n",
       "      <td>n</td>\n",
       "      <td>p</td>\n",
       "      <td>...</td>\n",
       "      <td>s</td>\n",
       "      <td>w</td>\n",
       "      <td>w</td>\n",
       "      <td>p</td>\n",
       "      <td>w</td>\n",
       "      <td>o</td>\n",
       "      <td>p</td>\n",
       "      <td>k</td>\n",
       "      <td>v</td>\n",
       "      <td>g</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>e</td>\n",
       "      <td>b</td>\n",
       "      <td>s</td>\n",
       "      <td>y</td>\n",
       "      <td>t</td>\n",
       "      <td>a</td>\n",
       "      <td>f</td>\n",
       "      <td>c</td>\n",
       "      <td>b</td>\n",
       "      <td>g</td>\n",
       "      <td>...</td>\n",
       "      <td>s</td>\n",
       "      <td>w</td>\n",
       "      <td>w</td>\n",
       "      <td>p</td>\n",
       "      <td>w</td>\n",
       "      <td>o</td>\n",
       "      <td>p</td>\n",
       "      <td>k</td>\n",
       "      <td>s</td>\n",
       "      <td>m</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>10 rows × 23 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "  edible/poisonous cap-shape cap-surface cap-color bruises odor  \\\n",
       "0                p         x           s         n       t    p   \n",
       "1                e         x           s         y       t    a   \n",
       "2                e         b           s         w       t    l   \n",
       "3                p         x           y         w       t    p   \n",
       "4                e         x           s         g       f    n   \n",
       "5                e         x           y         y       t    a   \n",
       "6                e         b           s         w       t    a   \n",
       "7                e         b           y         w       t    l   \n",
       "8                p         x           y         w       t    p   \n",
       "9                e         b           s         y       t    a   \n",
       "\n",
       "  gill-attachment gill-spacing gill-size gill-color  ...  \\\n",
       "0               f            c         n          k  ...   \n",
       "1               f            c         b          k  ...   \n",
       "2               f            c         b          n  ...   \n",
       "3               f            c         n          n  ...   \n",
       "4               f            w         b          k  ...   \n",
       "5               f            c         b          n  ...   \n",
       "6               f            c         b          g  ...   \n",
       "7               f            c         b          n  ...   \n",
       "8               f            c         n          p  ...   \n",
       "9               f            c         b          g  ...   \n",
       "\n",
       "  stalk-surface-below-ring stalk-color-above-ring stalk-color-below-ring  \\\n",
       "0                        s                      w                      w   \n",
       "1                        s                      w                      w   \n",
       "2                        s                      w                      w   \n",
       "3                        s                      w                      w   \n",
       "4                        s                      w                      w   \n",
       "5                        s                      w                      w   \n",
       "6                        s                      w                      w   \n",
       "7                        s                      w                      w   \n",
       "8                        s                      w                      w   \n",
       "9                        s                      w                      w   \n",
       "\n",
       "  veil-type veil-color ring-number ring-type spore-print-color population  \\\n",
       "0         p          w           o         p                 k          s   \n",
       "1         p          w           o         p                 n          n   \n",
       "2         p          w           o         p                 n          n   \n",
       "3         p          w           o         p                 k          s   \n",
       "4         p          w           o         e                 n          a   \n",
       "5         p          w           o         p                 k          n   \n",
       "6         p          w           o         p                 k          n   \n",
       "7         p          w           o         p                 n          s   \n",
       "8         p          w           o         p                 k          v   \n",
       "9         p          w           o         p                 k          s   \n",
       "\n",
       "  habitat  \n",
       "0       u  \n",
       "1       g  \n",
       "2       m  \n",
       "3       u  \n",
       "4       g  \n",
       "5       g  \n",
       "6       m  \n",
       "7       m  \n",
       "8       g  \n",
       "9       m  \n",
       "\n",
       "[10 rows x 23 columns]"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "for column in df:\n",
    "    if column in to_ignore:\n",
    "        continue\n",
    "\n",
    "    groups = df.groupby([column])\n",
    "    for key, item in groups:\n",
    "        he_name = column + \"_\" + key\n",
    "        hes2v[he_name] = item.index.values #vertices"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "h = hnx.Hypergraph(hes2v)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.read_csv(filepath, names=he_names)\n",
    "h, v2hes, hes2v = hee.read_data(filepath, he_names, [\"animal_name\", \"type\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "zhou = hee.spectral_methods.Zhou(h, None, norm_de=True)\n",
    "emb_zhou = zhou.fit(dim=3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "luo = hee.spectral_methods.Luo(h, None)\n",
    "emb_luo = luo.fit(np.identity(h.number_of_nodes()), dim=3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "rod = hee.spectral_methods.Rodriguez(h, None)\n",
    "emb_rod = rod.fit(dim=3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "H has hyperedges of size 1. Modifying inf to 0.\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/mirko/Downloads/HEE/hee/notebook/../../hee/utils/matrix.py:13: RuntimeWarning: divide by zero encountered in double_scalars\n",
      "  new_diag.append(1.0/value)\n"
     ]
    }
   ],
   "source": [
    "L_saito = hee.get_hypergraph_laplacian(h, mode=\"Saito\")\n",
    "emb_saito = hee.embed_hypergraph(L_saito, dim=3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "H has hyperedges of size 1. Modifying inf to 0.\n"
     ]
    }
   ],
   "source": [
    "saito = hee.spectral_methods.Saito(h, None)\n",
    "emb_saito = saito.fit(dim=3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "L_ren = hee.get_hypergraph_laplacian(h, mode='Ren')\n",
    "\n",
    "X_ren = hee.embed_hypergraph(L_ren, dim=6, sprs=True)\n",
    "X_ren_reduced = PCA(n_components=2).fit_transform(X_ren)\n",
    "\n",
    "X1_ren = hee.embed_hypergraph(L_ren, indices=[1,2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "ren = hee.spectral_methods.Ren(h, None)\n",
    "emb_ren = ren.fit(dim=3, pca=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "bolla = hee.spectral_methods.Bolla(h)\n",
    "emb_bolla = bolla.fit(dim=3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "L_smhc = hee.smhc([h])\n",
    "\n",
    "X_smhc = hee.embed_hypergraph(L_smhc, indices=[1, 2])\n",
    "X1_smhc = hee.embed_hypergraph(L_smhc, indices=[2, 3])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "L_hhe = hee.get_hypergraph_laplacian(h, mode=\"hhe\")\n",
    "\n",
    "X_hhe = hee.embed_hypergraph(L_hhe, indices=[1,2])\n",
    "X1_hhe = hee.embed_hypergraph(L_hhe, indices=[2,3])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Plotting the embedding"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "m, id2n, id2e = h.edges.incidence_matrix(sparse=True, index=True)\n",
    "n2id = {v:k for k,v in id2n.items()}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "colors = []\n",
    "t2c = [\"#1f77b4\", \"#ff7f0e\", \"#2ca02c\", \"#d62728\", \"#9467bd\", \"#8c564b\", \"#e377c2\", \"#7f7f7f\", \"#bcbd22\", \"#17becf\"]\n",
    "\n",
    "t2c2 = {\"e\": \"#1f77b4\", \"p\": \"#ff7f0e\"}\n",
    "for animal, nid in n2id.items():\n",
    "    #_type = df.iloc[int(animal)][\"edible/poisonous\"]\n",
    "    #print(animal, _type.iloc[0])\n",
    "    #colors.append(t2c2[_type])\n",
    "\n",
    "    _type = df[df[\"animal_name\"] == animal].type\n",
    "    #print(animal, _type.iloc[0])\n",
    "    colors.append(t2c[_type.iloc[0]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "def plot3d(X):\n",
    "    fig = plt.figure()\n",
    "    ax = fig.add_subplot(111, projection='3d')\n",
    "    ax.scatter(X[:, 0], X[:, 1], X[:, 2],c=colors)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Zhou"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Zhou\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Luo\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Rodriguez\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saito\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Ren\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Bolla\n"
     ]
    },
    {
     "data": {
      "image/png": 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ufD4fenp6MDk5ieLiYtEGDyxM/s3OzqK5uTlms+yApZ8PCKdOH6wyQMMbn88HtVotOw9ADg9CzPUUFRVhaGiI+1IxgJEAb78FwAPcFwghI/P/72MY5iPMxfuXttEHotJ2dXWJirfFgGbns7OzUVFRAZvNJunzXPeekoBqa2sXdfgFPx9A+9K5pbRY8gPk2JGFKgMdHR2YnJzE2NgYkpOTZasMUDZeuHC5XKK8q6amJnR3d4NhmNWYM/ZbANzGfx/DMOsAaAF8zHlNC8BGCHEyDJMD4AoAvxJzfUvW6H0+H5xOJ86ePYstW7awVNqWlhbk5eWJirdDgd94o9frJTfcUKNva2uD0+kURQKin4sV+H3ptJQmxA+IBqJRWktKSkJycjIKCgqQnp4Ou90uW2Ug0p2e/k1DQaVSYf/+/bjhhhv+hrmS3bOEkAsMw/wCwBlCyNH5t94C4CDxjyPXA/gTwzA+AArMxfSBEoD+55VyM7EAv/ZOhyaOj4+jt7cXGzZsYHvFwwV1581ms5+3EE6XHZ39tnr1aqxfv35JZ9Ep+E023HyA1WpFZ2enrPmAaNNwuc01clQGIt3pZ2dnRZeLd+7cCULIGu5rhJCf8X5+lP85QsgJALXhXN+SMnqh2jshBK2trSyVVspDKPSwcd35xsZGv99LJbvQ8llmZibKy8tFf04uyEHO4ecDTp06hby8PFnzAdE0eqHjRloZ8Hq9Ee301NNYqlgyRi9Ue5+ZmYHVakVpaSmKi4slPThCbac0+cfvo6cQu9OT+eGVJpMJ69evh16vF31dSx3cLDkgTz4gVv30gSC1MhBp9t5qtUZcoo0mFt3oA8lYDQ0NYXh4GMnJyfxapijQphtqyL29vTCZTEGTf2KM3uVyobm5GRkZGWhsbITFYglrt7VYLLDZbMjKyopKSU8uiM0HZGVlBYydl1qXXajKACEEarUaFoslrDkDUtz7xcCiGr1Q7d3tduPChQtQqVTYunVrWMw64KKMFR1ikZWVtcCdF/pMMKM3mUy4cOEC1qxZwxqB1DwAXdBGRkag0Wig0+mgUqmg1WqRnZ295LvtAuUDOjs7A/IDlprR88GvDAwNDcFsNrOyW1IrA3GjDwAhd54aVWVlJQoKCtj3hvPQKBQKGI1G6HS6gO48H4FiZEIIBgcHMTY2toBdJyWu9nq9uHDhAhQKBRoaGtiH1ul0sjH0zMyMqN1T6rmjAbH8ALvdHpXzR4uRR8MBmhSUWhmIx/Q8iKXSUtBuNCkca7oDDQ0NSarlC+3aHo+HbeLZunXrgodMrOHZbDacP38excXFKCkpgdfrZVuCXS4XNBoN8vPzAYDdPTs6OuB2u5GRkcE+ZEs5FAjED6C5lKSkJFn5AdFk5NHnLVhlgHo3/MqA2Lba48eP47vf/S66urp6INxhdxeAX+MiYWc/IeSZ+d/dCeAn86//JyHkebH3F1OjF9Kcp1RajUbjR6WlkGr0VKBCoVCgpqZGEnmHb/QzMzNoaWlBeXk5CgsLBT8jxugpH4BfbnQ4HOjr62MXAK1Wi7KyMr/d0+v1wmw2s3LPSqWS9QKWUlutEGg+wGg0ori4GGq1WnI+IBii1Vrr9XoDPjehKgMffPABPv74Y9TU1GBmZiYgSYt22L377ruorKysgUCH3Tz+Sgj5v3jXkIW5xptGAATAp/OfnRZzfzExen7tXQqVlibkxGBychIdHR1Yt24dxsfHJRsF1+jptNpQ7LpgMT31YKampgSlsUdGRlgXmRCC6elpNoNMwTVyYC6RSAdZWCwWdHR0ICcnJ2zDiQVoeBZOPiAUFjtXwK8MVFVVYWhoCP39/bjmmmvw85//HNdff/2Cz9EOu4qKChBCXCI67Li4DsC7hJApAGAY5l0AXwJwQMw1R93oCSEwm82w2+3QarUsg627u3sBOUYINCEX6hy0hEaPp9frQ35O6FyUXedyuUSx6wLt9G63Gy0tLUhNTUVDQ4NgWOB0Ov1klxiGCdqmC8wNfCgoKEBBQQHOnTuHkpISzMzMLAgFlsKce4pAXXZLtV8gkjp9eno6MjIycNNNN2Hnzp0B3yehw+6rDMN8HkAXgO8TQoYAFAEY4n1WdKNHVJ8K6s5bLBaYzWZkZWWxVNrc3NyQ2XTgonsfCE6nE83NzcjMzPQ7XjjsOofDAYvFgvz8fNHsOiGjp2FBRUWFX0KSj4yMDExOTiItLY29RyltsTTe1Gq1C0IBnU4HhULBegmLOeJaTCJ2KfULyFGnlymR9yaAA/P8+nsBPA/gi5EeNCpGz6+9q9Vqdqxwb2+vpLFPwdx7rjvPz85LNXoadycmJkpi1/HPQ5tuxEy9LSgoACEEU1NTUCqVKCsri4jUESwUkFIVkBvhVF/E8ANcLhccDofs9xIpDVeM0YvpsCOETHJ+fAYXG2pGAOzgffYjsdcnu9EL1d6BOTacw+GQTKUVcu/J/Ay66elpNDQ0CH7pYnMBNDQwm81oamrCmTNnRF8bcHGnp4M06D2Kca2VSiVKS0tZN0/u3YsbCnBj6FiHAnLU6YXyAefPn48oHxAIkZYCbTZbyC5L2mHX39+PioqKBAh02DEMs4oQMjb/4y4A7fP//huAJ+Y77QDgWgCPiL0+Wb9podr77Ows2traoFQqUV9fH1ZfNdfoA7nzfIjJBbhcLpw/fx6ZmZlhd+0xDAOv14szZ84gJycH69atk3yccA1CKi05UFWAGwp4vV7ZyTRyH4/eS0JCAurq6mTPB8jRcBOqZEc77K677jpgzpiFOuz+g2GYXZhTxpkCcBcAEEKmGIZ5DMDp+cP9gib1xEA2o6c7PHBRWGJ4eBiDg4NYt24dBgYGwvriuUZP3Xkxwhmh3Huqqcdl14UDk8kEq9WKhoYGUQQguRFu2S5QKOByuXDq1ClZQ4Fo1NO59y13PiDSnV6sEu7OnTtpsq+SvsbtsCOEPIIAOzgh5FkAz4ZzfbIZPZdow6fS0hg/HNAdu6enB1NTUwHd+UCf44MQgoGBAYyPj2PLli1h68lxWXopKSmLYvBygoYClNDEDQVcLhcyMzPDDgWiUU8P5j1E2i8Q6U7vcDiWnE4hF7K691wq7erVq1n5Y5/PF7bRE0Kg0+lQUFDAykeLgUKhYHkBFB6PBy0tLUhMTBRk14kFl07b1NQUVn8AXQiXopS12FBAbFUgGtx7Kd6DVH5ApJ6JXBp70YKsRq/T6TA6Oor6+nq/LLTUKTAUk5OT0Ol0yM7ORnV1taTP8nMBYth1YkDptCUlJSguLg7rGE6nE+fPn2cno2ZlZS3pZhuxVYFASrzRMPpwvQcx/ACn0wmTyRRWPmCpsyQBmY0+IyMDxcXFEe9elMk2OTmJqqqqsBo2uDH9yMgIBgYGRJXRgoGW9TZu3Bh0EGYwcHXw09PT4Xa7MTU1xbqeaWlpyM7ORlZWVkiFl8VquBGqCtDBj06nc0EoEK2dXg4vSSgfcPr06Yj5AUtx8aaQ1ehp9jcScGWtGxsbMTU1BavVKvk4dAjFhQsXRA+wDARuiVCITisWIyMjGBwcxObNm5GUlAS3243ExEQ/13NmZgZTU1NobW1l+fhLeaoNd+csKSmBz+eDyWTyCwWcTifLQ5fLGKLVYadWq6FSqdjBkw6Hw29RDpUPiFYbsZxYGjzNedDsPDejHoqRFwgulwvj4+OorKxEaWmppBWa+0C53W40NzezI6nC+UJpDd/pdKKpqQkqlUqwssAwDNLT05Geno7y8nJ2qg3ddWiXWnZ29pJNFHHjfWDuezhz5gwbCqSkpLC/j+QeYjXSKikpCYWFhSgsLBSVD3A6naKbvER02T0I4JuYK9kZANxNCBmY/11Yc+yAGBt9oFWQ687zs/PhGD01koyMDJSVlUn6LDf/QPMAlZWVbNurVFAuQHZ2tuQaPneqDe3rnpycZN1oj8eDqakp5OfnLxmePR8JCQlQq9WoqakBIQQ2m23BUA7qPku5h2i11QbbqUPlA6xWKw4dOgSVShXS+EV22Z0F0EgIsTEMcx/mGHn75n8X1hw7IArZ+0AI1CLLd+f5q7cUOi1VubVYLKitrcXg4GBY9+Dz+TAxMQGdThdRHoDG75FyAeh10b5u6kafO3cOFosFo6OjbEIwKysr7IRgtPMDDMMgNTUVqamp7D3QqsDAwAAbX2dlZYWczxettlqpHXbcfADdJE6cOIHLL78c1113HZ588knBz4rpsiOEfMj5yCcAvhbmbfkhZtuDSqWCx+PxM/qpqSm0t7cHNQqxOz1l6mm1WjQ0NMBut0tuuAHmHszOzs6I8wCjo6MYGBhAfX19QHZWJPGfQqFAQkICy9d3Op1+sadGo2EXgXBzENEG32hcLhc72rqjoyNoKBAt9z6SMqpGo8GOHTvQ3NyMl19+OejgFClz7ObxDQDvcH4Oa44dEEOj5xpvMHc+2OcCgS4eXKZeJF12GRkZ2LBhQ9jxe1dXF+x2Oxu/B4Kc7qlQQnByctIvIZidnY309PSAD/ViJ6ESEhKQn5+P/Pz8kKFANIdXRtpsQxd5uRRxGYb5GuYEM77AebmMhDHHDlgE956qyQZy54U+F0ykQqfTQa/XL2DXSTV6SstNS0uTLLdNr8XtduP8+fPIysrC2rVrgx4jmsbFTQiuXr2aTQiOj4+jq6sLSUlJbFlwqSYEQ4UCXq8XarUaZrMZGo1GtgUgVoMuxM6xYxjmagA/BvAFQoiTvk7CnGMHxHinp5JCUmLcQHRat9uN1tZWJCUlBZXZCgVKpx0fH0dDQwM6OzvDGm1lNpsXKOUuFfATgvwdlNbVl/Kce34oMDo6isnJSYyOjsJisSyZqoDYXnqRXXabAfwJwJcIIXrO62HPsQNiKJdF68+NjY2SGjiEHkKLxYLW1lY/qi8fYnZ6r9eL1tZWqFQqduEIJyzweDxoa2sLGr9HA+GQc/g7KF+Dz2azYWBgANnZ2UhNTV3Si0B6ejrKyspkrQrI0UsvZY5diC67XwNIA3Bo/nugpbmw59gBMXDvXS4XWlrmyomVlZURd2wNDw9jaGgoZFY91MNqtVrR3Ny8gE4rtVrQ1dUFl8uF7du3L1lXORi4FFuPx4OzZ89CrVZDp9Ox3WI0FFjsOfdccLP3oUIBhmH8egWC7eRyDK+UMscuRJfd1UKfIxHMsQOivNNz21etVmtY2XQKr9eL9vZ2+Hy+kAmyUKB1fCE6rdg+AVp/pw/SUm6wkAKlUulHRqEJweHhYRBCWOMJlhCMBYIZZ7CqQKhQQI6dPpyJTLFE1OSy+vv7YTAY2Oy8w+EIm6Lr8/lw6tQpFBUVoaSkJGyXk6+SI1TKonX6YLBYLGhpaUF1dTXy8vJgMpkkudmEEHR3d2NsbIzdSbOzs5dcaY2fEKTjn8bHx9HZ2Skqjo5W7Z+rTR8KsawK2O32mIZ44UB2o6fufFpaml+CTalUwul0hvj0QkxMTMBms2Hr1q0Rjaim16XRaIKq5IRy76kGXl1dHevGiVkoKOiYrdTUVGzdupV9AKWU1ijkbrgJVbLjjn/iGk9nZyfbc5+dnY3MzMyoez7hMvJChQJutxspKSnIzMwMqyqw1EdaAVGQyzpz5gyqq6sXZLBVKpWkxhkqk02bHNLT08O+LrozV1VVhaTTBnLvCSHs/HY+aUes8dG23LKyMqxatYqdbKPRaFBWVuZXWqM7KfUCpAztiAWEEoK00aavrw8qlYpdAKKBaHXZDQwMwG63h10VkFEJN2qQ1eiVSiUuu+wywS9DCoeeO0N+y5YtOH36dNhMKdpWKzazLrRrU25BZmYmNm/eLKjhHsroaTMRzSMIvZ9fWqPNHW1tbfB4PKwXEK2Ou0jIOfxJsLQ7jSYE29vbWeORIyEYLRouAGi12pChQGZmpuB9LPU5dkAU3HulUin4QIs1esqu48pa089KeVh8Ph/sdjv0er0kOm2g0VZVVVXsVFOhzwQyej4PQGz1gt/cwe+4S05OhtPphNPpXJIPGe1Oy83NRUtLCwoLC1nhDQDsAhYusSaajDwpVQH+fYjd6WmHndfrRW9v78MCHXaJAF4A0ABgEsA+Qohu/nePYI6W6wXwH4SQv0m5x0Wh4QpBKPkn9rN8OBwOnD9/HiqVChs3bpSU6eca/fj4OPr6+kSVB4ViejothxAiSCCSAiGCTVtbG/r7+9HX18c2qmRmZkZ0nmgp3GRkZCA5ORnDw8OYnJzEzMwMHA4H225Ly4JiF8Vocu8D5SOEBDe4VYHXXnsNU1NTMBqNqKqqCnoO2mFXXFyMxMTEWwU67L4BYJoQUsUwzC0AfglgH8MwNZgj8mwAUAjgPYZh1hBCRBuI7EYfyNUNZrh0BFRKSoqgcUipnXM9hb6+vrDm2Xm9XnR2dsJqtaKpqSmkhyF0z1QSKy8vD2VlZbJLQKemprKU4ZSUFExPT8NoNKKnpyfsvvtoZNppyOD1enHgwAFMT0+z3ZaVlZW44YYbYLPZ2PDH7Xb7Ke8EMsBY7PShwE9spqSk4F//+hcee+wxjI6O4sSJE4J/f26H3TyE5tjtBvDo/L8PA9jPzD1EuwEcnKfk9jMM0wNgK4CPxd5jzLvs+KDsumAjoMTs9FTldmJigvUUdDqdZG6Az+fD4OAgCgoKBON3IfDde5o4FCPVLQeUSiVycnLYc1EjonEo1wuINZ+AGv3IyAjMZjP7PXo8HnR3d8PhcLAuNBXh5CYE1Wo1mwvgMgSj1U8fbp2eYRjU1taCYRgcPXoUhJCAHqbIDjt2Xh0hxMMwjBlA9vzrn/A+K3qOHbCI7j3VxR8eHkZdXV3QJFsoo+fOkOd6ClIptTMzM+jv70dWVpYkIU6ue09DglhTcrng9t3zjSghIYF1pfldYNESsKR/H6EEKP/7CZQQpBTh9PR0ZGdnR01JOFIPgoYzS5W+DMTQ6LkG6PV62Vh369atIVfWYJ12lE5bWlqKoqIi0Z/jgxpreXm5ZBIRfXi7u7thsVhEhQSxAt+IqPpOT08PHA4H60qLnS0oFdToCwsLoVar4Xa7QQiBUqlEXl5eyPZTrlyVz+djGYKU7UnHdMvVLBQJI09seCSyw24EQAmAYYZhVAAyMJfQo68H+2xQRCWmD/Y6NdLi4mLRLayBOu1oJru2tlawji92zHV3dzdmZmbQ1NSE6elpmM3mkNfEP0ZPTw+0Wi22bNkSs1U+nPMkJyezf3sqYjk5OYn+/n5WTNRqtSIlJUWW+6BGn5CQgNtuuw3vv/8+pqenUVhYiCuvvFLSOWhCMCMjAzMzM6isrITVamVFN+SYyiOHBxHqnrgddvMb1YIOOwBHAdyJuVj9JgAfEEIIwzBHAbzMMMzvMJfIqwZwSsr1xVRYze1249y5c5IlpIVCg1B0WiC0e09FL9PT01ljlcKuA+bi5/HxcaxatYpVUI0lIkm+8UUsTSYTurq60NvbC4fDgYyMDJZgE4mSMDWC9PR03HjjjWFfLxc+nw+JiYlIS0tja+qU19De3g6PxyMqISh03Eh2ejGLGLfDbv65fkWgw+7PAF6cT9RNYW5hwPz7XsFc0s8D4AEpmXsgRkZPu9Hcbje2b98u2fXl7tiUKJORkRFy6GQwo5+dnUVzc/OCBKKUwRw045ybmxuWe7zYSjV8JCQkICUlBRs3bmRr0tQLoAw7fkItFKJ1j/wcAZ/XQHMZk5OT6O3tXZDLCHRNkcT0drtddLWE02EHAI8DCzrsHABuFvosIeRx+plwEHX3ntbMc3NzkZycHNaOoVQq4Xa7FzS6hEIgo5+YmEBvby9qa2sXDBoUk/zjE25GRkYk77iDg4Po7+/3o9rKJa8kB/g1aafTyS4AdrudTaiF6lePVmktFCNPKJdBk5k2m82vyYa7CUWySImZVrsUENWdnu6ElF2n1+vDcp+USiX0ej3GxsYkZcUDhQXBkm2hjF6IcCO1B7+jo4MV3vR4PAsSa2KbVqKRaQ+ExMREv4SaxWLB5OQkq2JLDYzvBURrp5d63OTkZBQVFaGoqIi9fiokSvvts7OzIwqXLgXePRDF1loh4UtqhFKM3ufzYWRkBDabDZdffnnY7Doav2s0mqDJtmDufSDCjdiGG66GXnl5OVwuF5KSkvweRuqS9vX1ITExkTWmQIkpuQk1YhOrmZmZbDMNVeKlPHuuFxDNECYSJWF6/RUVFWy//fDwMOx2O1pbW9lFQEqjE02ALnXIbvRutxufffYZOxGG64JRgo7YvnEaGqSlpYUVGlCjDxS/CyFQIi8Y4UaM0VutVpw/f54dnOH1ev2m+dKFkJtY4zPVot1wEy74SrzUCxgcHGTZdzMzM0t2QCe33352dhbl5eWYnJz0a3Sio8WCbVgrdqd3OBwoLi4WbGGVwqGnD/v69euhUCgwMiKpFAlgzujNZjMGBwcF4/dAn+EbfSjCTaiMP70Xeg3U4OlYZK7x05IRwxtu4fV6FzTcuN3uBeO4I4EcuzLDMGxZraKiAhMTExgfH/fT41+K8lvARa+JJgTLysrYvzulOCcmJrILMz8heCn00gNRMPr09PSAGUyxdFoqa01Dg5mZGcmEGUIIDAYDrFYrLrvsMtEPGNfoxeQA6GcCXd/g4CDGxsbQ2NiIhIQE1shpeZDu2D6fD4QQ9vd0IaDv4VJtacNNR0cH+vv7odPpWHd0qSnaKpVKaDQaOsnFT34LAHvdcg63DBdCSUc+xZkmBGlZMz09nV0EpLbVTk1NYd++fXjvvfe6AegA7CWETHPfwzBMPYD/DSAdc111jxNC/jr/u+cwp4VPiSV3EULOhTpvzMg5gHg6bUJCwgLVHSm1c6pOAwCrVq2StKPQmJ6rcBOKcCPk3nMTdjTM8Xq97G7KPx73XunnuSEA/btRLyA1NRUajQb5+flITU1lu706OzuRmpoqetw1F9Gk4QLC8lvcOfdSxnRHA2KSzEIJwcnJSRw+fBjPP/88SktLcebMGWzZsiVkCPbUU0/hqquuwrvvvlvNMMzDAB4G8BDvbTYAdxBCuhmGKQTwKcMwfyOEmOZ//0NCyGEp9xlTck4wo6dxd1lZ2QI6rRhmHf84FRUVrHsvBQzDsDPKy8rKUFhYKOozXKOnCTutVov169cDAGvwUuak8b0AugjQ41GPgN92Ozs7i8nJSVaFeDF302ALiVqt9tOuo9dNpcNi7b1IrSxxE4L3338/3G43ent78fTTT+PGG2/Enj17gn7+jTfewEcffUR/fB7AR+AZPSGki/PvUYZh9AByAZhEXygPMTX6QJ12ExMT6OnpCUinFZsLoPHupk2boNFoYDQaJXfZmUwmzMzMYNu2baJZg9yQIFDCjuvKS4WQF2A2m2E2m1FcXOzHZ2cYhpXgKi8vX7CbajQa5OTkLKhPRwti6/RC182da0e9l+zs7KhdtxwU3C9+8Yu4/fbbRb13YmKCO7dhHEBQLTeGYbYCSID/JJvHGYb5GYD3ATxMOFNwAmFR3Xs+7z2QSydGgKO3txcmk8nvOFLq51zCTUpKiiSaMN3pAyXshNz5SEBZZvX19UhKSlrgBXg8HtZT4O+mMzMzMBqNGBwcXFBfj7Z7LwX8XnWr1cp6AV6vF06nEyaTSVYp7kiNXmjQxdVXX43x8fEF7338cX9C3TyvPmAJiGGYVQBeBHAnIYQ+1I9gbrFIAPD/YM5L+EWo64y5e0+zzVw6bTgxMwU39ubTcsV6CHzCzSeffBLyM/zro5TVQAk7uTA0NISJiQls2bLFb5EUmwugMTWtT09OTkKn08FmsyE5ORler3fBdOFIIFdFgJtRdzgcOHfunOwCopEOrxTK3r/33nsB35+fn4+xsTGsWrWKGrVe6H0Mw6QDeAvAjwkh7MNJCBmb/6eTYZi/APi/xVxnVIw+mHqOw+Fg57aLpdMGemioKx1ovJWYnT5ShRufz4fh4WHYbDZs3749ZMIuXFCvyOl0Bk0SickF0AUgISGBra/7fD6Mjo5idHQUZ8+ehUqlQk5ODqu+E+59RMN7UCgUSEpKwrp162QVEJVjp5eSvd+1axeef/55PPzww8BcR90b/PcwDJMA4DUAL/ATdgzDrCKEjM0r6uwB0CrmvDHf6WmtOVKRiVBttUBoo49U4YYm7BITE5GTkxM1g6cz99LS0rBx40bRxxWqfnATgFxikEKhgEajQUZGBtauXQuHwxE2PZgLKclLseCLV/IFRE0mkx+fgSYEQ7XbRrrTSy3ZPfzww9i7dy8eeeSRbgADAPbO31MjgG8TQr45/9rnAWQzDHPX/Edpae7/ZRgmFwAD4ByAb4s5b8yM3ufzYWhoiN0RI2nV7Ovrw9TUVNA8ABDc6CNVuLHZbDh37hwqKiqQkJCA8fFxeDyeiBJ2QnA6nWhubkZRUZGoSkIgcNWEAPgZPv2PJgR9Pl9QejDtWBOjwReNnT5YcpB6KFw+w9TUlJ/+Hl28+MeI9U6fnZ2N999/H5jriWdBCDkD4Jvz/34JwEtCnyeEfDGc64yJe2+329kSlkqlCtvgPR4PWlpakJycjIaGhpBfkFB9XyzhJhi4Gvbp6emwWCwwGAxITExEbm6ubAIUs7OzaG1txZo1a1hqrlygYYBKpYLP54PL5cLg4CBWrVrFLgJ0AeP33VP1HTq8M5g7HS2jF3NMymfgDuQIJiAa6U6/Ymm4fFADqampQUJCArq7u8M6jtfrxalTp1BeXi56x+PX96UQbgJhaGgIIyMjaGhoQGJiInw+H1JSUtDY2Mi6w3a7HVqtli2NhbN7TE5OskM2o/0gUW9i9erVyMvLYz0Amg+g/6YlQa76jhA9mJtUi1ZFIJy/aSgBUZVKhbS0tLAlsyjNeKkjakYvRKcNd4ilwWCAw+FAY2OjJLEKrnvPHSkVjptMCEFHRwdcLhfLFuTG73x3eHp6GgaDAV1dXUhJSUFubi5ycnJEMc1GRkYwOjq6IEMfDczMzKC1tRXr169nu+bEJAOD0YNpswp9X1ZWlqx99XIdi9/b0N3dDZvNhs8++wwJCQmsFyC2c87tdi+5IaRCiIrRe71enDt3DklJSX502kDknEDgxu/p6emSY29+/VyqTBcFbcvNzMzEunXrACBowo5b/6bZZaPRiObmZvh8PuTk5CA3N3dB1xnlG1itVmzZsiXqctV0XNOmTZsC/m0D0YMDeQFcOWuPx4P29naYzWacPn3aj2ATiXFEQ5hDqVSyrcy5ublBBUQDfS/RSFpGA1Ex+t7eXuTn5y/YUaV02dH4PSkpCQ0NDTh37lxYXoLL5UJPT4/kkVLUoLkJu4KCAr+st1imGc0uU6aZ0WiETqfD7OwsMjMzkZOTg4yMDHR0dCApKQmbNm2KOu2Udr5t3rxZUm07lBfAJQapVCp2AmxWVha7+LW2toIQEjY9OBaDLoIJiKrV6gXSW+HoGohpuAEAhmG8AFrmfxwkhOyaf3015gZlZAP4FMDthBBXqPNGxejXrl0raKBiv1iqmMt1xaWOtqKEG6/XK3mkFG2VNZvNaG9vZxN2cjDs1Gq1X23cbDZjfHycTVBmZWXB6XSGreYqBgMDA5icnMSWLVsiIuGIaRKiPxNCFix+fHqw2JbbaA66EHpO+IlMWs7s6+uD3W5nF2yVSiXpukQ23ACAnRBSL/D6LwH8nhBykGGYP2JuFNb/DnXemNbpxYDGwXxXXEqnHZdwYzabJe8KCoUCw8PDGBsb80vYyc2wUygUSEhIgNlsxqZNm5CSkgKj0YgLFy7A4/GwrqZcDSeU4ONyuVBfXy/7bsn3AsxmMyt3zS1nMgwjSA+mLbc0D5CTkyMowhktN1ps9l4of/Pee++hv78f11xzDW699VbcfffdIY8jpuEmEOYJOV/ERens5zE3BmtxjD6cB5TMD7CcnJwUrL+L7bTjE25GR0eDvt9ms6G/vx8+nw+lpaVIT09nk1HUQ4gWpXZ6ehqdnZ3YsGEDm/UtLS1l42FqBBaLBenp6SxDLpzd2efz4cKFC0hKSsKGDRuiHj6YzWZ0dnb69QdwtQLoIkCJQdyWWy492Gq1slLctOQbLfc+nKw9zd888cQT6OnpwXPPPYe+vj5Rn5XQcJPEMMwZzEleP0UIeR1zLr2JEEKTZKLHWy2JnZ720ScmJgasv4tx76USbiYNBrz8m8NwWlxwp05Cq81B0boyZOZlsYo90WDYAcDY2BiGhoZYo+BDpVL57YSUC6DT6dhW2pycHFGZZZqIzM3NRWlpqWz3EAgGg4H9HvjThwFhYhBwsT+ATw/minAqlUqo1WqkpKTIXg6MZDGhSrjUA6CQqeGmjBAywjBMBYAPGIZpwUXhDMmIudHTeJn+cWkpTWgsFRfB3Hsu4UZoFr3QwzH9+mHkt96PB9MBpAODA6thVz0CdXMWmEQVbP39YK4vhTIzUdZdhXo0FotFdEzNcCSoqqqq4HA4YDQa0dnZCafTiaysLOTm5gqSYxwOB5sfEZIwkxtjY2MYHh7Gli1bgioNcYlB1AvgSoZxiUF8Ec6enh4YjUYYjcaw6cFCiGSkVSAKrhwNN4SQkfn/9zEM8xGAzQCOAMhkGEY1v9uLHm8VlfqC2PZao9GIs2fPoqamJqjB8z/HhcfjwdmzZ+Hz+QSNSEjd1qPXI+/C/VAoAIaZ+6+svB9a5/NIJAlIcCrg7ZvFzDMdgE18iTEUqIvtcrlQV1cXdhItKSkJxcXF2Lx5M5qamqDVajE+Po6TJ0+ipaUFY2NjcLvdmJ2dxdmzZ1FdXR0Tg6fSYMEMng9a61er1UhKSkJCQgJb/qPUYJfLxSYEExMTodFoUFJSgsbGRuTk5GBqagqfffYZzp8/zyrahgM5dnopoA038wjUcKNlGCZx/t85AK4A0EbmHuoPMTfyKuDnhRDznV6pVMLj8WBoaAhGoxGNjY2iSkZCMb0Ywg39HPfL9Jw9BqF1KS/nXxhx+ABm7r3E4cXQO21I/kIhsrOzI9pJouViK5XKBao5BoMBZ86cgc1mQ3FxMdRqdVSlqCmfwmq1RpwgFEMMoorKoejBwXj2QoiEex+O0YtsuFkP4E8Mw/gwt0k/RQihc+wfAnCQYZj/BHAWc6OwQmJR3PsLFy6w1FWxf2T+Ti+WcCPUdKN2B0/uAczcosAw0KRqMGk2szr0NJaWUlKz2+1+NNdogarP2O12GAwGNDU1YXZ2Fr29vbDZbNBqtewILrlCFkIIOjs74fP52PnsckGoJEgNW6vVstoMNBfApwebTCY/nr2YGQLh/l3C4d2LbLg5AaA2wPX2Adgq9Vpjmr232WwwmUwoKSmRNP8dmPtiaRcYd6RUKOMTbLq56rtA838teK/LnQwwCrBXr2CQ3lSIrNxkVFdXw2azsSU1r9eL7Oxs5OXlBdVzN5vNaGtrw4YNGwK2AMuJoaEh6PV61sVOT09np9LQZhNKDab02XCFJ2i4kpycjMrKyqhXBNxuN6vDQAdpBNIK4I61IoTAbrfDaDSywy25+ntyLIA2m+2S4N0DMdzpaeKJ/rGlgoYFFy5c8BspFQo0NqSYCwlaUV/yJWQMHWdf93qBfvt/QZMxt6soUtVIuaEUqtyLraMpKSlsSc3tdrNlJcqsy83NRVZWFntdExMT0Ol0qK+vFz3YMFxQCq/NZkN9ff2CUIRPDbbZbDAYDGhpaWGpwTk5OaLZcV6vF83NzcjKykJZWVm0bosF7dRcu3atX/+FEDFIaIgI97vzeDyYnp5mlXcoPViqniIXl8p0GyAGRk8bbwwGAxobGzEwMBAWndbnmxtvVV5eLknhhrvTT09Po62tDRs3bkTy5S/AzmPYSXl01Wo1CgoKWGquyWSCwWBAT08PqzTjcrkkJbXCBWUfqtVqUS42lyNP2XG0JDY7O4uMjAx2ARPKY1DxEDrbLtqw2Wxobm7G+vXrA4Zy/FwA3/i5XgBfPZjq7zkcDpw5c4YlBkmhB18qgy6AKLv3VPFFrVaz8btUOi0wR7jp7u5mlVKlgMb0w8PDGB4eZhl2copWchNK9J7tdjsUCgXOnTvHPmBy9dlzQduF6Y4bzvH5C5jZbIbRaGQFM6gXkJycDKfTiXPnzkU9P0ExOzuLlpYWbNy4UbT7LJQM5C8E3JIgpQdPTEygrq6OnWsnhR5ss9kEJduWIqK209PMeklJCYqLiy+eUGKnHSXcrFmzBkajUfJ1MAwDnU7nFxJEi2HHNUDaNONyudhkEu2zz83NFZ1RDgZKNy4pKZHtgVMo/EdU06Rge3s7nE4nXC4XVq9ejdzcXFnOFwy07be2tjbsXVRMfwAFpQdzVXj5E3loiMTP4wgp4S5VRMXofT4fWlpa/Hq0KcTu9HzCjcPhwMTEhKTr8Hg8MBqNyMjIQF1dHYDgLbGRgA7bLC8v96uJJyQksG4wFZyYmJhAZ2cn0tLSkJubG5aWu9VqRUtLC6qrq8PKkYhFcnIySktLodVq0dLSgrKyMszMzOCTTz6BRqNhwwC5QxiaAK2rq5M1Vg5UEpycnIRarYbb7fbzAvj0YDreenZ21m86r9TsPe2w0+l06OnpeRfCI62uBPB7zkvrANxCCHmdCXOkFRAlo1coFNi2bZvg75RKJVyu4N1/Qgo3UsMC6mloNBp2Ui31MOTmbVssFly4cEFwkeOCLzgxMzMDg8GAwcFBv3p7qKQfNQgpLm8kMJlM6OjoQF1dHbubUWqw0Whk6bFUJyBSI6U9CdFOgNLnwGw2Y2BgAHV1dVAqlQG1AhISEvzCIDpD4KmnnsI//vEPKBQKFBcXY+3atSE3FNph9/DDD4NhmPch0GFHCPkQQD0AMAyTBaAHwP/HeYvkkVYAwIToAw57+LnL5RLsMdbr9TCbzQFLdoEIN1Qnv7GxMeS5acJuw4YNmJqaQmJiIvLy8mTf3YE5nnlvby/bJRcuHA4HDAYDDAYD3G53wA47er66urqoVwSAuaoLPV+w8iilBhuNRjgcDjYZJjWMocIVoc4nF6amptDd3Y36+nq/0qUQMYjW8bneAsXtt9+OhoYGnD9/Hk8//XTIcGvt2rX46KOPKAW3EMBHhJC1gd7PMMy3AHyBEPLv8z8/B+BYOEYftZg+kLAALb0JIRjhRmyX3cjICIaGhtiEnclkwvj4ONRqNbRaraxGPzg4CIPBgIaGhojd26SkJJSUlKCkpESwwy43NxdOpxPj4+MxkdEC/IU2Qp2PUoO5unk0jElNTWXDmGDHMRgM6O/vF3U+OUAXGL7BA9IHirrdbtx+++346U9/KurcUkdaAbgFwO94r0keaQUsAiNPpVItMF4xhBsxo626urpgs9nQ2NjIluoKCgqQlJQEvV6Prq4uNg7NyckJm1ZLz+V2u7F582bZwwV+h53JZEJPTw9bTtPr9cjNzY1omksocEk+UnsE+GHM7OwsjEYjzp8/DwBsGMDtlZ+YmGAXmFjM2Atm8EIIRQ/u7+9f8HeSeaRVLYC/cV4Oa6QVsEjce67x8kdKBTKgYDs0zQFoNBrU19cDuJiw49dkuS2qCQkJ7O/EGpDX60VLSws0Gg3WrFkTdRYaIQRjY2NIS0tDY2Mjm02nM90C6e1Fcr7+/n7MzMwIknykglKDNRoNmwyj5UCr1cpSgs1mMzZv3izbOK1gkGrwfPCHiDz99NPQarULZMrl6LCbx14ArxFC3PQFEuZIKyDK7r0QuEYf6UgpYK6kdO7cOTYHQFdgoQw9v0XVZrNBr9ejpaUFhBDk5OQgLy8vYOklGiWyYKALDM0eMwyDlJQUlJWVoaysjNXb6+/vZw0oEm499WA8Hg9qa2ujIlTBrWb4fD50d3djYmICKpUKra2trBcWLS+GGrwcIQQhBP/93/+Njz/+GB9++KGk44kZacXBrZjb2VkwYY60AqKYyPN4PILuuMvlYumUUkdKnThxAtu3b2d/5ibsMjMzIyLc0B1Ir9fD4XCwibSMjAwwDIOZmRlcuHAhKoMnAl3P+fPnRU+24cpuT09PIzU1lXWxxTyM1ONKSEhAdXV11D0YYE6rb2pqCps2bYJSqWSFM41GI9vbkJubK1k4MxDkNvi//OUveOutt/Daa69JTjpOTk5i7969GBwcRE9Pz/uYK9lN8TrswDBMOYB/ASghF6fVgmGYDzA3p54daUUImRVz7pgbvc/nwz//+U+oVCq/EpAYcI1+ZGQEg4ODrDqLnIQbWrc1GAywWCxITEyEzWbDpk2bYtI0Q3nmVVVVYc3Yo9RSg8EAo9EIhmH84mg+qEeRmZkpmfEYLmgIsXHjRkGPglKDjUYjZmZmkJGRwcqFhRNyyGnwAPDCCy/gyJEjOHr0qBxVlOivsNyTRcvoad+z38HmCTcDAwPYsWOH5PjtxIkTuPzyy9mEXW1tLRtXRYNhB8wltIaHh5GZmQmz2Yzk5GRJgyukgtb8a2pqwtLoF4LT6YTRaGSHhnCVdmjjTH5+vh9zMlqgjUEOhwM1NTWiQghCCMxmMwwGA6ampqBWq9nvQIzByW3wBw8exIsvvohjx47JxcJbnkbPJdwYjUZcccUVko954sQJJCUlIS0tja3zR4thRxcou92ODRs2sKQN7g6qUCjYPIAcNXM6yirSmn8weL1eTE1NwWAwwGQyweVyYdWqVaisrIx6Eo3mDLxeL9avXx/290XbZCmngbuI8Y8pt8G/+uqr+O///m8cO3ZMTmLU8jN6PuGGH5uLgd1uxz//+U+sW7cOJSUlQRN2kcLr9bJ94lVVVQGPTQkper2eJdTk5eWFFYNyhTJjUaOmCdCioiJWfVbqDioFZH4smEKhkLXq4fF4MDU1BaPRCLPZDI1Gw4YBFotFVoN/88038V//9V946623gjIvw8DyMnohwo1Uo6cJO6VSifr6eqjV6qi58zSBtmrVKknuLr1XvV7P9tfn5eWFzKQTQjAwMIDp6WnU1tbGpGRFO9f4IQR/B5VLd58mCZOSkqIqtsGlNk9MTMDhcKCsrAwFBQURu+HHjx/Hr371K7z99tvRSOQuH6Pv7e3F+Pj4gnoojc3FfPmjo6MYGBhAfX09Ojo6UFVVhaSkpKgYvFxNLEKZ9Ly8POTk5PgZNZWaou5uLOagUd5+qM41uogZDAY2kRasxz4QfD4fWltb2Tp9LEBd+pqaGpaX4XA4wu5wfP/99/HYY4/h7bffDiuxKgLLw+jp3K8NGzYs+AOfPHkSDQ0NQXc1Oo3FarWyCbuWlhYkJiaisLBQ9piXDnOUezQ0ZaTp9XpMTk6yZKGsrCz09vYiJSUlJlJTwMWcgVTePmUF0kRaUlKSqHo6rQpotdqYqOsAF3sF+C49dza9lJLmP/7xD/zkJz/BW2+9FU1F4eVh9D6fjxUu5OPMmTOora0N+MDQ4ZWpqal+CTuXywW9Xg+DwQCPx+NHponEaEZHRzE8PIy6urqoUluBORd6fHwcOp0OarUahYWFsjLqAmFiYoL1mCKNb7nJTJ/Pxy4A3Hvwer0s8SoWVQEALNMv1D3yE7IA2AWAew//+te/8NBDD+HYsWPRVghaHkZPCAnYQnv27FmsXbtWcLemCSY6/CJQwo6y0fR6Pex2+wIyjdhr7Ovrw8zMDOtNRBu073716tXQarXsPdhsNjYLLYfABhcjIyMYGxtDXV2d7Lx2mgQ0GAwsKzArKwsDAwOiiUVyINAOLwb8e/j000/hdrvxyiuv4NixYygpKYnSVbNY/kZPxRj4RBeTycTWqKnaqZgeeD6ZRkwSjasrFwsOPXAxgSbUd0/dT9p6rNFokJeXF7Hevk6ng8lkismi5vP5YDAY2Cw9zQPk5OREtYlG7A4vBj6fDy+88AL2798PhUKBiooKvPjii7JxJgJg+Rt9W1sbVq1a5adqyk3YRcKwoyKVer0e09PTSEtLY5No9KGngyfy8vJisYoDuJgzqK2tDZlJpo1BNA9A9QByc3NFP9SUZ+B0OkWTYCKFy+Vi9fNycnLYwRuU00AXADllpeQ0eABobm7GvffeiyNHjqCqqgo9PT2xyLksD6MH5phgQujs7ER2djbbetnd3Y3Z2VmWgy0Xw47bVWc0GpGUlISMjAyMj4+jqqoqJjpvwMV4OtycAY0/DQYDALCdgYGMhxCC9vZ2KJXKmHkxNGypqqoSrHw4nU72HpxOJ/v9Z2Zmhn19cht8W1sb7r77bhw6dAhr1wbUs4gGlr/R9/T0sCqjLS0tSElJwZo1awAgqpTasbExdHV1ISEhgW2rzcvLi6pCy+DgIIxGIzZt2iRLDd7lcrHGI9QYRPUJaYksFgYfSJM+ELisQBrKUJENsX8juQ2+o6MDd911Fw4cOIANGzZEfDyJWD5GH0gyi6rTjo+Ph0zYyQWqArNp0yYkJSWx8lR6vR5er5fdPeUq11EPxul0CpYt5QA/l6HRaDAzM4PCwsKYlcjEaNIHA9cb47ICc3NzAy7GVGFHLoPv6enB1772Nbz44ousgGqMsfyNvrOzE6Ojo6ivr5eUsAsHdNgGTWYJ7SRut5vdPWklIC8vL2wmGh33lJSUFJTGKyecTic+++wzJCYmwuVysY1Bubm5UUuihaNJHwpUJIRbluW218pt8DqdDrfeeiueffZZNDQ0yHAHYWF5G/3o6Ci6u7uxatUqVFdXR9Wd9/l8aG9vh0KhwNq1a0VPLqV02pmZGcnCFLSxKCcnR9bptMFA4+nKyko2T2K1WqHX62E0GiUp7YqFHJr0ocBvr01MTITdbhc1w1AMhoaGsG/fPvzpT38KqN4cIywfo3e73X5Koj09PZiZmUFBQQGsVisqKiqiZvButxstLS0RTX7h02lDldGosk5ZWVlM5sEDF6nD69atC9gEwlfa5e+eUmE2m9He3h7VbkA+9Ho9enp6oNVqYTabRbMCA2F0dBQ333wznn76aXzuc5+LwhVLwvIzesqwowm7yclJTExMsJlluQ2ejobmD56IBPwyGt99psYXK2Ud4GLvvRT3mg4AMRgMmJ2dlezJUE36WElwA/4quTRU4Vc0hMQ2A2F8fBw333wzfvOb3+DKK6+M+vWLwPIyepvNhrNnz/ol7Ox2O9ra2uByuVgqrVw0VNpQIqcIhRBoDdpgMIAQAofDgY0bN0Z12gwXtO4fyW7L92ToxB1+YxBFpIKS4UDI4PmgUmcGgyEks9FgMOCrX/0qnnjiCVx77bWxuAUxWD5GbzQa0dzcHJBhR3ediYkJWRJoer0e/f392LRpU8x2Ib1ej97eXuTl5cFkMrGVgGACm3Kckyaz5DI+bluq0WhckEWXO4EmBmIMng+fz8f219PGGtoe7HA48NWvfhWPPvoodu7cGeWrl4TlY/Q6nQ4ZGRlISUkJKVrJT6BlZWUhLy9PFHmD6ubTengsdNMBYHh4GBMTE37n5AtsUrcz0p50itHRUYyMjLC6AtECN4vucDjg8/lQW1srqbchEoRj8HzQDkeDwYBvf/vbGBgYwLXXXov/+T//JyorK2W+4oiwfIze4/HA4/FIztDT1Zry0INx6X0+n58EUyzoplTnzWazsVJaQvB6vewCQONnupCFc5189dhYgHYgFhYWYnJykp28K3ZBDgdyGDwXFosFN910E26//XYoFAp88skneOaZZ2KyeInE8jJ6l8sVUYaez6VPT09nM+iUfZaRkREz9hktAyqVSlGDCrmfow01JpOJHVUlpqGGLjJUry8WCxsw58no9Xp2sCOwkE0n5T7EQK/XQ6fTyWbws7OzuPnmm3Hvvffitttui/h4wJyKzne/+114vV5885vfpNr1LAYHB3HnnXey4d5TTz0VKpxYPkZ/3333IS8vD3v27JGFA05VUWn92eVyoaCgANXV1THZ+ahyLBWFCPd+uOqutBJAm4L4DzrVlgOAdevWxWx34kp4Bfrb8u+DltGkNAZxIbfB22w27N27F3feeSfuvPPOiI8HzD0Da9aswbvvvovi4mI0NTXhwIEDqKmpYd/zrW99C5s3b8Z9992HtrY27Ny5EzqdLthhY2r0URVke+yxx/DGG2/gJz/5CSYmJnDdddfhxhtvDFsJlWEYZGZmQqlUwmg0orq6Gna7HadPnw5qOHKAaucVFxdHPN2G3kdmZiaqqqpYIs3Zs2dZZZ28vDyo1Wq0trYiNTUVFRUVMTP4vr4+tgEqmFfBvY/q6mq2jEZn1oVqDOJCr9djYGBANoO32+247bbbcOutt8pm8ABw6tQpVFVVoaKiAgBwyy234I033vAzeoZhYLFYAMxVk2KlKSAWUd3puTCZTDh69CheffVVDAwM4JprrsGNN94oeXyS0WhET0/PghZVKkllNBrZAZDh7jh8UH55pNp5YkATaBMTE2weYM2aNTEhwXA16Tds2BDRIkO19vV6PdtVF6gyI/cO73Q68e///u+44YYbcP/998u6WB4+fBjHjx/HM888AwB48cUXcfLkSezfv599z9jYGK699lpMT0/DarXivffeC0XxXT47PReZmZm44447cMcdd8BiseCtt97C7373O3R1deGqq67C7t270dDQEHQBGBoawsTEhOCo5rS0NKSlpaGiooKdUXf+/HkoFAq2Fz0c6iat+8vJLw+G5ORkrFq1ChMTE6isrIRSqURnZydcLldEEtuhQDXpfT5fxAYPAImJiSgqKkJRURFbmRkaGmJFNvPy8pCVlQWj0SjrDu9yuXDXXXfhmmuukd3gxeLAgQO466678IMf/AAff/wxbr/9drS2tsYsFxMKMdvpA8Fms+Gdd97BkSNH0NLSgh07dmD37t3Ytm0bG0tyO9Zqamokxe8OhwN6vR56vR6EEOTm5iI/P19UHZ96FbFknzmdTpw7dw4VFRV+/f58iW1KQNFqtbLkSmLVf08Ts9wOx8rKShQUFERs9G63G3fffTe2bt2KH/3oR1G5j48//hiPPvoo/va3uanRTz75JADgkUcuzpfcsGEDjh8/zgq0VFRU4JNPPkFeXl6gwy6fRJ5UOBwOvPvuuzh06BDOnj2LK664Atdddx1effVVfO9734s4kUWFNfV6PdvBlZ+fLxhz0np4XV1dzMgoNIwI1ZfOL2nSioZUeWp6rFho0vNBXfrq6mpWpTaSxiCPx4N7770XNTU1+MlPfhK1+/B4PFizZg3ef/99FBUVoampCS+//LJfD/7111+Pffv24a677kJ7ezuuuuoqjIyMBLumlWv0XLhcLhw5cgQPPvggSkpKUFtbiz179uDzn/+8LG4gbaflkmjoAqDT6WCxWGImlglc7FrbsGGDpCGZ3IrG5OQky0DLzc0NKUixGJr0wMWkHZ9gFG5jkNfrxQMPPIDS0lI89thjUV+43n77bXzve9+D1+vF3XffjR//+Mf42c9+hsbGRuzatQttbW245557MDs7C4Zh8Ktf/SoU5Tdu9BQ/+tGPcN111+ELX/gC/v73v+Pw4cP4P//n/2DLli3Ys2cPrrzySlloqJQOrNfrMTU1hcTERLZrLRY7n8lkQkdHhyj9vGDgauxTKi3NZ/D/TrT8mJ2dHbMWYCCwwfNB22r1ej2rsivUGOTz+fC9730PWq0Wv/zlL5dM3CwRcaMPBq/Xi3/+8584cuQIPvzwQ2zcuBF79uzB1VdfHVHcTQczpKWlIT093a+fnrIBo7EAUOnmuro62WW7bDabX1MQLQUmJibGXJMemNMKpOPFpXhrfGJTWloaW9p88sknkZCQgN///veXqsEDcaMXD5/Ph5MnT+Lw4cN49913sWbNGuzZswfXXnutJGEHl8uF5uZmrFq1CkVFRX7Hn56exsTEBMxms1/WWY4HbGxsjB2yEe28ARWmpPeSlZWFysrKqA/ZoAjX4PmgjUGvv/46fvWrX8Hj8eDhhx/GzTffHDOh0yggbvThwOfz4ezZszh06BCOHz+O8vJy7Nq1C9dff33QFlvae09VZwKBjnaamJgQJagRCkNDQzAYDLIJZoqB2+1mJ9UqFArWdZbS3BQO5DJ4CkIIHn30UUxNTeGRRx7BsWPHsG3bNlx++eUyXO2iIG70kYImqA4dOoR33nkHeXl52L17N2644QY/gQuaPJPae88X1EhJSREcUBnos5TxJpWYFAm4mvTcHdHn87HimtHwZiYmJqDT6eDz+dDb2wuVSoWtW7eyjDapIITgySefxMDAAJ577jlZEq2huPQA8Morr+DRRx8FwzCoq6vDyy+/HPF5OYgbvZygNejDhw/jrbfeQkZGBnbv3o3ExESMj4/j29/+dkRsN37yjDuYQohH39nZCZ/PFzYVORyE0qTnXh9tbpqamgo4bVcs6A4PAOfPn0diYiKrpLRz507JdGZCCH7729+ivb0dL774oiwekhgufXd3N/bu3YsPPvgAWq0Wer0+WM09HMSNPlqgOn0//elP8eGHH6K2thZf/vKXsWvXLuTn58tihJRHbzAYoFKpkJeXh7y8PKhUKrS1tSExMTFmCrmAdE16Cv5ilpCQIGnKDjX4zZs349VXX4XdbmcXQZvNhtraWklilIQQPP300zh9+jQOHjwoW3+FGLLNj370I6xZswbf/OY3ZTmnAJYnDXcpgGEYJCcnw+l0oqenB5OTkzhy5AjuuOMOKBQKfOUrX8GePXtQWFgYtlGmpqZi9erVWL16Nex2O/R6Pc6dOwebzcY22MTK4CPRpGcYBhqNBhqNBpWVlX7UZoZh2EqAUMWEa/AqlQqJiYmwWq3s7wkhkioVhBD86U9/wokTJ3D48GFZG6pGRkb8RpsVFxfj5MmTfu/p6uoCAFxxxRXwer149NFH8aUvfUm2a4g1VpTRA3Nf6muvvQYA0Gg0+MEPfoAHH3wQo6OjOHLkCL71rW/B6XTiy1/+Mnbv3o3y8vKwjTQ5ORmFhYUwGAwoLy+HUqnEhQsX2PHOeXl5UWukkVuTPiUlBeXl5SgvL2crAe3t7SyJhuoc6vV6P4MHgG3btuGdd95hDV+j0bATjUKBEIJnn30W7733Hl599dWYsSO58Hg86O7uxkcffYTh4WF8/vOfR0tLS0D14aWOFWf0QmAYBkVFRfiP//gPfOc734Fer2epvxaLBTt37sTu3btRXV0taQGgktjl5eVsDFhSUsKOpqKNNFxNPTm8AKqSu2nTpqjo9CUmJqK4uBjFxcXsyPC+vj5YLBYQQhaoCRUUFGDPnj0YHh6GSqXC6tWrRe/0L774Io4ePYqjR49GZfxYUVERhoaG2J+Hh4f9yrbA3Eaxbds2qNVqrF69GmvWrEF3dzeamppkv55YYEXF9OHAaDTi9ddfx6uvvgq9Xo/rr78eu3fvDpmIo7F0KElsajR6vR52u53dNS8lTXpgTlZ6aGgIJSUlmJychMViibgScPDgQbz00kt48803oyYyKoZLf/z4cRw4cADPP/88jEYjNm/ejHPnzsnZZh1P5C1VTE9P480338SRI0cwODiIa6+9Fnv27FlQeqOutdRSIF9TLysrC/n5+aLFKBdDkx6YM/jh4WHU19ezLn2gkeFih1QeOXIEzzzzDI4dOxb1luZQXHpCCH7wgx/g+PHjUCqV+PGPf4xbbrlFzkuIG/2lAKoJcOTIEXR3d+Oqq67Cnj172Pr9V77ylYh2J1o/1+v1sFgsyMzMRH5+fkBRzcXQpAeEDZ4PyqITKmsKxehHjx7F/v37cezYsUs2bpaIuNFfarDZbHj77bexf/9+tLW1Yc+ePdi3bx+2bt0qC3lESFST7pqUWafT6WKqSQ+IM3ghcKfTKBQKdsBGSkoK3nnnHfzmN7/BW2+9FbNJQUsAcaO/FNHe3o5vfvObOHjwIEsHPnv2LD73uc9hz5492L59uyxkEj6BRqVSweVyyTbUUSzCNXg+aDvt66+/jr/85S+w2+14+eWXsX379qUkUR1tLH+jn5qawr59+6DT6VBeXo5XXnllAXHk3LlzuO+++2CxWNg4at++fdG4HFlACIHT6fQzPJfLhffffx+HDh3CqVOncNlll2H37t2yaQKMjIxgeHgYmZmZmJ6eZsVBxfTSRwK5DJ6Lv//97/j5z3+OO++8Ex988AG+8pWv4K677pLl2JcAlr/R/+hHP0JWVhYefvhhPPXUU5iensYvf/lLv/d0dXWBYRhUV1djdHQUDQ0NaG9vv2RjPLfbzWoC/POf/0RDQwN2794dtiYAbdihmvR0PPXExERYDDqxiIbB/+tf/8JDDz2EY8eOyaYcK4ZPD8wlDG+66SacPn0ajY2Nspw7DCx/o1+7di0++ugjrFq1CmNjY9ixYwc6OzuDfqaurg6HDx9GdXV1NC4ppqCaAIcPH8aHH36ITZs2Yffu3aI1AagmfTCJai4dWKlUsnTgSJJ8Y2Nj7EgtuQz+5MmTePDBB3H06FE/ZlwkEMOnB+Yarm644Qa4XC7s379/xRj9oqgOTExMsM0WBQUFmJiYCPr+U6dOweVyLbX5Y2FDqVTiC1/4Ap5++mmcP38eDzzwAE6ePIkrr7wSd9xxB1577TU/2ioXfX19MJvNITXpKR1469atqKmpASEELS0tOHPmDAYGBmC32yVdczQM/rPPPsP3v/99vPbaa7IZPOCvTZ+QkMBq0/Px05/+FA899FBMcyFLAVEL/K6++mqMj48veP3xxx/3+znUuKuxsTHcfvvteP755y9lZZSAUCqVuOKKK3DFFVfA5/Phs88+w6FDh/DrX/8a5eXl2L17N66//nqkpaXhxIkT0Gq1qK2tlZTkSk5ORmlpKUpLS+F0OqHX69HW1iZ6wm40DJ4udkeOHEF5ebksx6QQw6f/7LPPMDQ0hBtuuAG//vWvZT3/UkfUjP69994L+Lv8/HyMjY2x7n2gNkWLxYIbbrgBjz/+OC677LJoXeqSgUKhQGNjIxobG/Hkk0+ipaUFhw4dws6dO+H1elFWVoY//OEPEWW1ExMTUVJSgpKSElYctKurCy6Xy49DT88xNjaG0dFRWQ3+woULuPfee3Ho0CFUVVXJckwp8Pl8ePDBB/Hcc8/F/NxLAYvCvd+1axeef/55PPzww3j++eexe/fuBe9xuVy48cYbcccdd+Cmm25ahKtcXCgUCtTV1WHTpk3Q6/VwuVxYvXo1/u3f/g1arRa7du3Cl7/85YgkotRqNQoLC1FYWMiKg/b19cFut7McgOnpaWzevFk2VeCOjg584xvfwIEDB7B27VpZjslHKD49FU/ZsWMHgLnk5K5du3D06NHFjOtjhkVJ5E1OTmLv3r0YHBxEWVkZXnnlFWRlZeHMmTP44x//iGeeeQYvvfQSvv71r/txoJ977jnU19dH45KWNP7xj3/gf/yP/wGGYVhNgMOHD+Po0aNITk7Grl27ZNUE8Hq96Onpwfj4OBISEmST0+ru7sbtt9+OF198EXV1dRFfZyCI4dNzsWPHDvzmN79ZMYm8ZUHOCVWecTqduOOOO/Dpp58iOzsbf/3rX2WPIxcDhBDodDocOXIEr732GpRKpSyaAFyXnmEYv8EamZmZrDqwlByLTqfDrbfeimeffTbUXDdZEIpPz0Xc6P2x5I1eTHnmD3/4A5qbm/HHP/4RBw8exGuvvYa//vWvi3jV8oMQgpGREXYBcLlc+MpXvoLdu3dLGqvNNXi+S89vouHTgQNhaGgI+/btw5/+9CdJajkrCHGjlwIxckfXXXcdHn30UVx++eXweDwoKCiAwWBYtjRPQggmJibw6quv4tVXX2UTonv27Amq3BPM4IXOwZ+sk5+fj5ycHL/Pjo6O4uabb8bTTz+Nz33uc7Le5zJCXC5LCsSUZ7jvUalUyMjIwOTkZFDJ60sZDMOgoKAA999/P+6//36W2/7www/DYDAIagKMjo5ibGxMlMHTc9DZ9Nwuuv7+fiQnJ8NgMKC4uBj33HMPfv/738cNfgnhkjf6OEIjNzcX99xzD+655x5MT0/j6NGj+MUvfoHh4WFcc801UCgUSExMxA9+8IOwsvQMwyA9PR3p6emoqqrC7Ows3njjDbzwwgsoLi5Gb28vGhsbJQ0giSN6uOTZLmLkjrjv8Xg8MJvNcqqeXFLQarW48847cfToUXz00UewWCx46aWXcPToUTz66KP49NNP4fP5IjqH0+nEBx98gGeeeQYHDx7E1NQUXC5XRMc8fvw41q5di6qqKjz11FMLfv+73/0ONTU12LRpE6666ioMDAxEdL5lDUJIsP+WPNxuN1m9ejXp6+sjTqeTbNq0ibS2tvq9Z//+/eTee+8lhBBy4MABcvPNNy/GpS45TE9Pk7179xKr1UpmZmbIK6+8Qvbu3Us2btxIvvOd75D33nuPWCwWYrVaRf83MjJCtm3bRl5//XXZrtPj8ZCKigrS29vLfscXLlzwe88HH3xArFYrIYSQP/zhD2Tv3r2ynT8GCGWHsv53yRs9IYS89dZbpLq6mlRUVJD//M//JIQQ8tOf/pS88cYbhBBC7HY7uemmm0hlZSVpamoivb29oo77zjvvkDVr1pDKykry5JNPLvj9b3/7W7J+/XpSW1tLvvjFLxKdTiffTS0ibDYbef3118nXvvY1smHDBvLtb3+bvPPOO8RsNgc1+LGxMbJ9+3Zy6NAhWa/nxIkT5Nprr2V/fuKJJ8gTTzwR8P2fffYZ2b59u6zXEGXEjX4pYAXsLqLgcDjIW2+9Rb7+9a+Tmpoa8o1vfIO8+eabxGQy+Rn8xMQE+fznP09efvll2a/h0KFD5Bvf+Ab78wsvvEAeeOCBgO9/4IEHyGOPPSb7dUQRMTX6Sz6mjxbEdGpdeeWVrOLsZZddhuHh4cW41KgiMTERO3fuxLPPPotz585h3759OHbsGLZv34777rsPf/vb32AymXDLLbfg7rvvxq233rqo1/vSSy/hzJkz+OEPf7io17GUETf6ABAqBY6MjAR8/5///Gdcf/31sbi0RYNarcY111yDP/7xjzh//jy+/vWv4/3338emTZtw7bXX4s4774zKecUka4G5Jq/HH38cR48ejak46KWGeMlOBtDd5e9///tiX0rMoFKpsGPHDuzYsQO//e1voyrI2dTUhO7ubvT396OoqAgHDx5cMDX27NmzuPfee3H8+HG5h0suO8SNPgCk7i5///vfV+zuEu37VqlU2L9/P6677jqWS79hwwY/Lv0Pf/hDzM7O4uabbwYAlJaW4ujRo1G9rksVlzwNN1oQ06l19uxZ3HTTTTh+/PiykPGKY9Gw/OWyLgVwd5f169dj79697O5CdxDu7lJfX7+geyuOOJYi4jv9IuASU2qNI/qI7/TLGV6vFw888ADeeecdtLW14cCBA2hra1vwvpmZGfyv//W/4q2occiOuNHHGHGl1jgWG3GjjzHE1P+5Sq3LFaEaaJxOJ/bt24eqqips27YNOp0u9he5TBE3+iUGqtT629/+drEvJWoQE+L8+c9/hlarRU9PD77//e/joYceWqSrXX6IG32MIUWptby8HJ988gl27dqFM2fOLMblRgViQpw33niDZfjddNNNeP/99xEi6RyHSMSNPsbgsstcLhcOHjzoV+rLyMiA0WiETqeDTqfDZZddtuykmcWEOIHUjuKIHHGjjzHE1P8jQahYGQBeeeUV1NTUYMOGDbjtttsiPmcclxhCtOHFcQlBTDtwV1cXqa+vJ1NTU4QQQiYmJmJ+nWL646+99lpy4sQJQsicUEp2djbx+Xwxvc4YIqattaHIOXFcQmAY5nIAjxJCrpv/+REAIIQ8yXnPrwB0EUKeWZyrBBiGUQHoAnAVgBEApwHcRgi5wHnPAwBqCSHfZhjmFgD/RgjZuygXvMwQd++XF4oADHF+Hp5/jYs1ANYwDPMvhmE+YRjmSzG7unkQQjwA/i8AfwPQDuAVQsgFhmF+wTAMTXD8GUA2wzA9AB4EIExbjEMy4l12Kw8qANUAdgAoBvAPhmFqCSGmWF4EIeRtAG/zXvsZ598OADfH8ppWCuI7/fLCCADuoPfi+de4GAZwlBDiJoT0Y87NjrcIriDEjX554TSAaoZhVjMMkwDgFgD8ksDrmNvlwTBMDubc/b4YXmMci4y40S8jiIyV/wZgkmGYNgAfAvghISReAF9BiGfv44hjhSG+08cRxwpD3OjjiGOFIW70ccSxwhA3+jjiWGGIG30ccawwxI0+jjhWGOJGH0ccKwxxo48jjhWG/x8cweo6fGklHwAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "print(\"Zhou\")\n",
    "plot3d(emb_zhou)\n",
    "print(\"Luo\")\n",
    "plot3d(emb_luo)\n",
    "print(\"Rodriguez\")\n",
    "plot3d(emb_rod)\n",
    "print(\"Saito\")\n",
    "plot3d(emb_saito)\n",
    "print(\"Ren\")\n",
    "plot3d(emb_ren)\n",
    "print(\"Bolla\")\n",
    "plot3d(emb_bolla)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## HHE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x296e8fdc0>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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6KzlWdYwyTxm7Snbxi8W/sDo0S8VnIti3El4cDY+2gyf7wJdPNf/9fJRSlvvnpn9SVueCTa/xkleUx97SvRZFZb34axrKz4VXrvZfeAVw4gh89Sf/cM2r/xx6u4Pr/O3wjgQYdB2kBp1eQSkVQSeqTjB97XQ+2P4Bxhiu6n0Vd517V5PnACiuKA5a7rA5KK0sDSfUFi3+agRf/bn+FbpVZbDqn4HbMAcx/yF/DWLxY/DZo/D3IbDm9eaPVakI8ZRUcnzNYSoPHbc6lAbzGR9TFkxh9qbZHD5xmPyyfOZsmsPkTybjbWINfmT3kbhs9WdLs2Gjb3rfcENuseKvRnBgjf/ePXU53P67cCZl1C7fvbz2/X+8gVvQfvBz/xW4dddXKob4fD6OvLiOyu3f30DQnuoi6xdDsCXF9r//8gPL2VG8g8oaV9lX+irZU7qHpfuWcmm3Sxu9z1sH3sqH2z+koKyAcm85NrHhsrn43QW/w2lzRjL8FiV+agTHjsCciaG/9XsqIK1n/fJ1b/lrDHXZHP5bPCgVw4rezauVBAC8xZUc+scqiyJquI0FG4Pe8vmE5wQbCjY0aZ+p7lTeuuYt7h18Lz/o9APG9RnH7Ctnc3mvy8MNt0WLyFcCERkL/BWwAy8aYx6vs9wNzAKGAAXAzcaYnSLSE/+E97mBVZcbY+6KREy1vH4bbHo/9HJHIpx1AyRn1l8m4n8EvZtnfI89VrHvxHeHg5Z7C8rxHKvEEYOTyp/UObkzbrubE54TtcoTHYl0TukcYqvTS3GlMHnQZCYPmhxuiK1G2DUCEbED/wCuAAYCk0RkYJ3V7gSOGmP6An8BnqixbJsx5rzAI/JJYO/KUycBVwr84C645ungy8++0d9BXJfP628aUipGlJeXs2LFCtatW4fPF5hoyBv6duS+0vpz5VrBVPkwvvpxjuwxkkRHIrYaH1OC4La7GdNjTDRDbPUiUSMYBuQZY7YDiMhcYBywscY644D/Cjx/C/g/idalfO9OC70sMQMe2HHq7bsNg2H/5r8jqPHByffruP/z3+JBqRgwf/58li9fXv363XffZeLEiaS0ceIrraq/gYCjfVIUI6yvbHMhRe9vw1tUjjhtJP+wM6mjeyJ2/0eD2+5m9hWzefCrB9lYuBFB6J/en8cufowkp7WxR5vX6+WF9S+w/sh6xvQYw7V9r43o/iORCLoAe2q83gsMD7WOMcYjIsXAyXaYXiKyCigBfmOM+SrYQURkKjAVoHv37g2PrvwUs2x5ykMvq2n0o5DSGT59+PuO5nfv8t/f56wYmLxl/yrY9jm42/qnlkxuZ3VEKoq2bNlSKwmAv5P4tdde474b7qb4n7n1tkm+uDM2h3VdhBU7iyl8dROmyl9zMZU+jv9rP6bCS/q470fvdGvbjVeverV62GeqO9WSeK208chGJn40ERP4FvrF3i94dPmjLLlpCSmulIgcw+rO4gNAd2PMYOA+YI6ItA22ojFmujEm2xiT3b59+4YfYfCPQy/rM6Jh+ziWDwserD3ayFcFb93hv3+/VYyB9+6Bl6+Az/8In/4Wnj4LtmondjxZvHhx0HJjDKsKN9Pup2dhz0wAm2BLdpA2rg/pV/aJcpS1lSzaXZ0ETjJVPo6vOISvov6ovlR3alwmAYBbP7m1OgmcVOGt4OYPb47YMSKRCPYBNWdV7xooC7qOiDiAVKDAGFNhjCkAMMasBLYB/SMQ0/dG/Q6CDguzwYSZDdvH5/8DhGhr/ezRpkYWvi3zYcN7/lFNxuMf4lpV5r8baVUDazuqxTtx4kTIZaWlpST0TafT/UPp+seL6PzbC0i5oOkdrZHiyQ8yEg9/JdtbEmKWvjh04NgBKn3B+3J2l+6O2HEikQhWAP1EpJeIuICJwLw668wDTnbRTwA+N8YYEWkf6GxGRHoD/YDtEYiptocPgqtNnUJfw4d/Fu8JvazEwsvSV8/xT15Tl9hg19Lox6Ms0bdv6Auhzj333ChG0nDOziGuDDbgSHNHN5gYdrTiaFSOE3YiMMZ4gHuBBfiHgr5hjNkgIo+KyMkejRlApojk4W8CejBQfgmwVkRW4+9EvssYE2KgfxiW/BGCXT4+t4FVq1M1IfVuYPNSVDVw4nrVKowZMwaHo353X+fOnenaNTZvhdJ2dA/EWfvjR5w2Ui7pijiDTL8apwZm1h2A+b0kR+Q6zMUEHR8f27Kzs01OTk7DN/ivNEJ+OPYZDbe+dertfT54ogdU1Ol4dqXAA7vAbtEVmrmfwFt31q8VuFLg/m3+CW5UxBhjKH7nXQpnzcJbUkLKj35E+3vuxtHO+s75EydOMG/ePLZv347dbmfIkCGMGDECm83qbsDQKnaXUPzRDir3H8Oe7KTNpV1J/kGnuJ8boK6nVz7NjPUz6pX//Ud/57LulzVqXyKy0hiTXa88PhLBKTqZkjvA/VtPv4/yEn/n8PYv/K97XgwTZlh7i4mTncUb3/NfGW13+a9xu2m2XuPQDA7+z/9Q9PY7mLJA+7bDgSM9nd4ffoA9NT47MlV0LNy5kD9+80eKK4vpktyFJy594pS1hVDiOxH8PiP4/YUAzrkFxj8bmcCssu+72sNHUxoxqko1SNXhw2wbNRpTWbvjTtxu2t1zN+2mneJ6FaViRKhEELv1xki68i+hl7X0JADQ5Xy45FcwfKomgWZSsWkT4qp/OwZTUcHx5d9YEJFSkRMfiWDoZBg6tU6hDf79O0vCUS2Po2NHjDdIrdJuxxWjHbJKNVRs34c2kq56yv9QqgkSzjgDd+9elOduAY+nulycTjJuu9XCyJQKX3zUCJSKgG4vvEDS0KGIy4UkJOBo356uf30ad79+VoemVFjip0agVJgcGRn0ePklPIWF+I4fx9mlCxLDwzOVaihNBEo1kiMjAzJ0ZjrVeujXGaWUinOaCJRSKs5pIlBKqTiniUAppeKcJgKllIpzmgiUUirOaSJQSqk4p9cRhGIMLPs7/OtpOFEI7fvD2McbPs+xUkq1EFojCGXxH2DJY3CiADCQnwuv3QK7l1sdmVJKRZQmgmCqyuHrf0BVnUnBPWWw+I/WxKSUUs1Em4aCOXYo9LL8zdGLQykVccYYFu1exNzNcynzlDG251huPONGEh2JVodmmYgkAhEZC/wVsAMvGmMer7PcDcwChgAFwM3GmJ2BZQ8BdwJe4OfGmAWRiCksKVmhl7U/s3H7qiqHr/4X9q+CjufApQ/oXMJKWeiJb5/gnbx3KPP4pxzdenQrH2z/gDlXzsFpd1ocnTXCbhoSETvwD+AKYCAwSUTqTqZ5J3DUGNMX+AvwRGDbgcBEYBAwFngmsD9rORPggnvBmVSnPBF+9EjD95O/FR7rCl8+BXmLYOmf4bEucEhrFUpZYf+x/by59c3qJABQ7i1nV8kuFuyy/juoVSLRRzAMyDPGbDfGVAJzgXF11hkHzAw8fwsYKSISKJ9rjKkwxuwA8gL7az6HNsPs8fC3wfDONDiWH3y9Hz3s/9BPPjn1ow3Omgjdhzf8WK/eAL6q2mU+D/zzuqZErmJcaWkpS5Ys4c0332TZsmWUlZWdfiMVVSsPrcQh9RtCyjxlfLX3Kwsiig2RaBrqAuyp8XovUPfTsnodY4xHRIqBzED58jrbdolATMGtexvenvL968LtsO5NuGsZZNVp8hGBlI5w/GSi8MGql/2PXx+ApDq1hWCKdgUvLz0APh/ovexbjYMHD/Lyyy/j8Xjwer3k5uaydOlSpk2bRmpqqtXhqYCMhAz830Frc4iDDkkdLIgoNrSYTyIRmSoiOSKSk58f4lv86bx/T/0y44U3fhJ8/XfuDF7+ZKemHV+1WvPmzaOiogJvYF5jj8dDWVkZCxbEb3NDLBreaThJjiSE2snAYXMwof8Ei6KyXiQSwT6gW43XXQNlQdcREQeQir/TuCHbAmCMmW6MyTbGZLdv3z7YKqd2dBd4yoMvK8irX7b2rcYfo662ISo3yR20NtCKVFVVceDAgXrlxhjy8oK8t5RlHDYHL17+Il3bdCXRkUiyM5kUZwpPXPIEPdr2sDo8y0SiaWgF0E9EeuH/EJ8I3FJnnXnAZOBrYALwuTHGiMg8YI6I/BnoDPQDvo1ATPU5TjFSJ0hVka0R+CZ3yxvw/CX+Wkf1sWz+ctVq2Gw2RARjTL1lDoeO0I41vVN789H1H7G1aCvlnnIGZA7AaYvP0UInhf0uDbT53wsswD989CVjzAYReRTIMcbMA2YAs0UkDyjEnywIrPcGsBHwAD8zpuanZgS1yYLEDCgrrL+s+wX1y8Y+BuvC/MDueBY8sBM+/284sBY6ng0jfgOJaeHtV8UUu93OgAED2Lx5c3XTEPiTwODBgy2MTIUiIvRP7291GDFDgn2LiXXZ2dkmJyen8Rse2uj/hl5zJE9iBvxiDSS0rb/+f6UDvvrlHc+Du75o/PFVq1VWVsasWbM4cuRIde2ge/fuTJo0SWsFKmaIyEpjTHa98rhKBABeDyx/xn+FcO/L4JybTr3+E72hrOD7190vgikfNe3YqlUzxrBv3z4KCgrIysqiY8eOVoekVC2aCJRSKs6FSgQ6dEUppeKcJgKllIpzmgiUUirOaSJQSqk4p4lAKaXinCYCpZSKc5oIlFIqzmkiUEqpOKfXvquW4cBa2PwR2OwwaDy062t1REq1GpoIVOxb+J/w7XTwVPjv3vrVn2DU7+EHd1kdmVKtgjYNqdi2f7U/CVSVgfH5p/r0lMOi/4SS/VZHp1SroIlAxbaN8/w1gXpskPtx1MNRqjXSpiEV22x2/N9X6twOXARssfP29ZWVUfLxx5z4bhWunj1Ju2E8jowMq8NSqkFi5z9JqWDOGg/L/gYeT+1y44MzrrImpjo8hYXsvPFGPIVHMWVliNtNwfPP02P2LBIGDLA6PKVOS5uGVGzrMAB+9Ag43P7pRh2J/p/X/A1SmjB3dTPI/+tfqTp0GFNWBoCpqMB37Bj7H3woKsf3VVRw9PU32D11KvsefJCyNWuiclzVemiNQMW+C38OA8fBlvn+5qAzr/ZPPRojShcuql9jASq2b8dbVIQ9La3Zju0rL2fnpElU7tzlT0QilM5fQNYDvyZ90qRmO65qXbRGoFqG9B4wfBoMvTOmkgCAuEJMfG4MOJp3UvSid9+lcsfO6toIxmDKyzn4+0fZft31lC5e3KzHV62DJgKlwpQ2YQLidtcutNtJHjYMe0pysx679NNPMeXlQZdVbN7Mvv+4j6J3323WGFTLF1YiEJEMEVkoIlsDP9NDrDc5sM5WEZlco3yJiOSKyOrAo0M48ShlhcypU0nKzkYSEpDERGzJyTi7dqXT4481+7HtqWmnXG7Kyzn85FMYn++U66n4FtacxSLyJFBojHlcRB4E0o0xD9RZJwPIAbIBA6wEhhhjjorIEuBXxphGTUCscxarWFS2fgPlmzZS7nKxdv8OjuzdTae+/cm+ejxt2zfPd5wTK1aw+9+mhqwVAIjLRd/Fn+PIzGyWGFTL0VxzFo8DZgaezwSuC7LO5cBCY0yhMeYosBAYG+ZxlYo5iWcN4vjZA3nj7Vls+PJzDuZtYc3C+cy8/14K9u5ulmMmDR1K+5//3N80JRJ8Jbsde5s2zXJ81TqEmwiyjDEHAs8PAsF68boAe2q83hsoO+nlQLPQb0VCvZNBRKaKSI6I5OTn54cZdgypKoP5D8Fj3eC/28PsG6Bgm9VRqSZa+ML/4amoqG6K8Xk9VJaVsWTWjGY7ZuaUO+j3xRIyfvpTcLlqLZOEBNInTkTqlCtV02kTgYgsEpH1QR7jaq5n/G1MjW1n+rEx5mzg4sDj1lArGmOmG2OyjTHZ7dvHxvjxiJh7C+S8BBUl4K2EbZ/BCyPg+BGrI2tePi/s+BLWvw3Fe62OJiKqKis4un9fkCWGvZvXN+ux7WlpZP2/++j44IPY2rb191ckJJB28810+H/3NeuxVct32usIjDGjQi0TkUMi0skYc0BEOgGHg6y2D7isxuuuwJLAvvcFfpaKyBxgGDCrwdG3dIc3w66v/TdRq2b8r3Negkt/bVlozapwO8y8BsqK/K+9VTB0Clz+WOjmjRbA7nBgs9vxBumYdSc17+ihk9JvmUTaTTfiKSjEnpaKre5oJqWCCLdpaB5wchTQZOD9IOssAMaISHpgVNEYYIGIOESkHYCIOIGrgeb92hRr8jcFv1+Opxz2r4p+PNFgDMyZCMX7oPKY/+GtgJUzYdM8q6MLi81mZ9ClI7E7a1874HC5GTz2mqjFIQ4HzqwOmgRUg4WbCB4HRovIVmBU4DUiki0iLwIYYwqB/wZWBB6PBsrc+BPCWmA1/prDC2HG07Jk9gNT/4pU7G7oeHb044mGI1uheA/1WhGrTsA30y0JKZIum/xv9Dx3CHanE3dSEnankzMvvJSh1463OjSlQgrrFhPGmAJgZJDyHOCnNV6/BLxUZ53jwJBwjt/idTwLOp8Pe3P834oBEHC4IPtOS0NrNpXHQOwhlpVGN5Zm4HS5ue7+31By5DDFhw6S0aUbyWlBL6+xTFVVFStWrGDdunU4nU6ys7M5++yzOcVYDdXK6b2GrHbLG7DgYVj7uj8ZdPsBXPXnmLuNQsR0PBtsQSqijkT/FJStRNt2HWjbLvauj/R6vbz00kvk5+fjCdwf6cCBA+zcuZNrr73W4uiUVfQWE1Zzp8C1f4NHDsJvC2HKfMgaaHVUzcfuhHHP+D/4JfA9xJkE6T1h6E9PuakK36ZNmygoKKhOAuCvIaxdu5YjR1r5SDUVktYIYoVIix4x0ygDroZpX8LKl6FkH/QbA2dNAGeC1ZG1etu2baOysrJeuYiwe/du2rVrZ0FUymqaCJQ12veHsc1/Lx5VW5s2bbDb7Xi93lrlIkJycnSGuKrYo01DSsWRwYMHYwvSR+N0Ounbt68FEalYoIlAqTiSnp7OTTfdRGJiIi6XC6fTSUZGBrfffjt2e4jRXKrVC+vuo1bRu48qFR6v18uhQ4dwOp20a9dOh47GiVB3H9U+AqXikN1up3PnzlaHoWKENg0ppVSc00SglFJxThOBUkrFOU0ESikV5zQRKKVUnNNEoJRScU4TgVJKxTlNBEq1AJ6qKvJ37eDY0UKrQ1GtkF5QplSMW7toPktmz0AAr9dD1wFncfUvHyAhOcXq0FQroYlAKQttX7WCL2a/xNED+0hJz+SCCZM4e8SY6uW7169h8awX8FRUVJft2biOD/7yGDf+5g9WhKxaIU0E8SRvEXzxFJTsha7D4UcPQbt+VkcVt3au+Y4P/vwYnsD8AKUF+Xz+yvN4KisZPPZqAFbMe7tWEgDweTzs27yR0oIjtMnU+QNU+MLqIxCRDBFZKCJbAz+DTs4qIvNFpEhEPqxT3ktEvhGRPBF5XURc4cSjTmHVP+H1n8Ce5VC8Fza+C9Mvg/wtVkcWt756bWZ1EjjJU1HBsjdfxfh8AJQWBJ81zO5wcqK4qLlDVHEi3M7iB4HPjDH9gM8Cr4N5Crg1SPkTwF+MMX2Bo0ArnbHdYl4PLHgEqsq+LzM+qDoBi//Hurji3NED+4OWV5aVUVnu/1v1OGcwtiC3hzY+HxlduzVrfCp+hJsIxgEzA89nAtcFW8kY8xlQWrNM/Pe9HQG8dbrtVZhK94O3/vSEGB/s+Sb68SgA0rI6Bi13JrhxJSQCMPTaG3AnJddKBg63m4sm3orT5Y5KnKr1CzcRZBljDgSeHwSyGrFtJlBkjDk5i/ZeoEuolUVkqojkiEhOfn5+06KNV4np4PMGX9amU3RjUdUumngbjjof5g63m+HX34wEZhFLSc/gtif/zjmjriC9Uxe6DTyba//jIc6/cpwVIatW6rSdxSKyCAj21eWRmi+MMUZEmm2WG2PMdGA6+Cemaa7jtEruNnDWDbDhHfCUf1/uTIKLf2VdXHGu9/lDueLe+/hi9kuU5B8iqW0qw2+YyODLr661XkpGJiOn3GVRlCoenDYRGGNGhVomIodEpJMx5oCIdAION+LYBUCaiDgCtYKuwL5GbK8a4+q/gPHChvfA7gCxwYjfwoCrT7upaj79h19I/+EXYny+6lqAUtEW7vDRecBk4PHAz/cbumGgBrEYmADMbez2qpGcCTB+Olz5FBw/AqndwKGDtGKFJgFlpXDffY8Do0VkKzAq8BoRyRaRF0+uJCJfAW8CI0Vkr4hcHlj0AHCfiOTh7zOYEWY86nQSUiGzjyYBpVS1sGoExpgCYGSQ8hzgpzVeXxxi++3AsHBiUEq1HLt372bBggUUFxfTpUsXrrzySlJTU60OK+7plcVKqahYsWIFH330UfXr3NxctmzZwrRp0+jYMfhQWhUd2jCpYtOhzbDwP2H5s/4L4lSL5vP5+OSTT+qVG2N46623gmyhoklrBCr2vHwV7Fr6/esFD8Mtb0G/eq2QKgiv10tRURFJSUkkJiZaHQ4A+fn5+AK3zajryJHgt9FQ0aOJQMWWL5+qnQTAfwX0azfBb/JBR9ec0nfffceCBQvw+Xz4fD7OPPNMxo0bh8tl7eCAhISEkMts+je1nP4FVGz55vng5T4PbHg7urG0MHl5eXzyySdUVFRQVVWF1+tl8+bNvPfee1aHRmpqasjaSZ8+faIcjapLE4GKLTWvfK7ruDYhnMrSpUupqqqqVeb1esnNzeXEiRNBtzm5fNmyZeTl5YVsvmmMkpISFi1axKxZs/j0008pLi4GYMqUKTgctRsh2rZty0033RT2MVV4tGlIxZZel8HmD4IvO/vGaEbS4pz8wK3Lbrdz7NgxkpKSapUfO3aMGTNmcPz4cTweDw6Hg7S0NO64444m9y3k5+fz4osv4vF48Hq97Nq1i5ycHG699VY6d+7Mww8/zKpVqzh06BBnnHGG1gZihCYCFVuueRryFtavGZw/GZJ1EpZT6dGjB0VFRRhT/1ZcGRkZ9co+/PBDiouLq2sBlZWVFBQU8OmnnzJuXNNuavfxxx9TUWMiHa/Xi9frZcaMGTgcDgYPHszll19er2agrKVNQyq2JLeD/5cL5/0YkjtAu/5ww0tw7d+sjizmXXrppbhcLvx3ePdzOp2MHDmy3gevz+djy5Yt9ZqCvF4vGzZsaHIMu3btCrnM4/GwatUq3n333SbvXzUPTcsq9iSmwXXPWB1Fi5Oens60adNYsmQJu3btok2bNlx00UWceeaZQdcPVnM4VXlDOJ3OWjWCujweD7m5uZSWltKmTZsmH0dFliYCpVqRjIwMxo8ff9r1bDYbvXv3Ztu27UCND34D6QlNn6NiyJAhfPvtt3g8oS8CtNvtFBUVaSKIIdo0pFScumjoCGw+B/gCHwM+GzafG3Z3JX9P6ak3DmHEiBH06dMHh8MR8voAr9dLZmZmU8NWzUBrBErFqaO7PLQrGE6Z6zAe+wkcnmTc5e3BZmPXugLad2v8N3aHw8GkSZMoKChgx44dLFiwoNaQVqfTyeDBg+uNYFLW0kSgVJxyuOzYbA4Symrf8M1mF5xue4itGiYzM5PMzEy6devGggUL2LNnD4mJiVxwwQUMHz48rH2ryNNEoFSc6jukA8veyQuyROhzfoeIHCMrK4vbbrstIvtSzUf7CJSKU0ltXYyeMhCHy4YzwY4zwY7daWPU7QNISXdbHZ6KIq0RKBXH+gzuQLcBGezeUAhA94EZuBL1YyHe6F9cqTjnSnDQd0hkmoJUy6SJQKkI85aUcPhPf6Lko4/BGFJGjybrgV/jSE+3OjSlgtJEoFQEGa+XXT+5lYodOyAwbLLkww8pW7mSPh99iFg8L0BDlJVUsmDGeg7tLCUh2cHFN/Wn93ntrQ5LNaOwOotFJENEForI1sDPoF95RGS+iBSJyId1yl8RkR0isjrwOC+ceJSy2vF//YvKvXurkwAAHg+eggJKFy2yLrAGOnroOC/9ein7covwVHg5VljBJ8+tY8mczVaHpppRuKOGHgQ+M8b0Az4LvA7mKeDWEMvuN8acF3isDjMepSxVsXUrprKyXrk5cYLy3FwLImqceX9bHbR8w5f78VZ6oxuMippwE8E4YGbg+UzgumArGWM+A5p2zbpSLYize3fEXb/5R5KScPXsZUFEjXOsIPQN4zYtPxDFSFQ0hZsIsowxJ98dB4GsJuzjDyKyVkT+IiIhBy+LyFQRyRGRnPz8/CYFq1Rza3PZZThS08Be48pcmw1bUiJtx15uWVyR4E7SLsXW6rSJQEQWicj6II9aM1cY/71rG3v/2oeAM4GhQAbwQKgVjTHTjTHZxpjs9u2140rFJnE66TH3NZIvusifDOx2koYPp+fc17E1cdavaOrQM/T9hfpldwy5TLVsp03xxphRoZaJyCER6WSMOSAinYDDjTl4jdpEhYi8DPyqMdsrFYucHTrQ/fnnMIEOY3E6LY6o4cbfdz4v/uorPJW1J6wZdccAiyJS0RBuXW8eMBl4PPDz/cZsXCOJCP7+hfVhxqNUzGhJCeAku8vOtL9dxvov95L7zUHatk/k0pv740pseeeiGk7CmY1IRDKBN4DuwC7gJmNMoYhkA3cZY34aWO8r/E1AKUABcKcxZoGIfA60BwRYHdjm2OmOm52dbXJycpoct1JKxSMRWWmMya5bHlaNwBhTAIwMUp4D/LTG64tDbD8inOMrpZQKn959VCml4pwmAqWUinOaCJRSKs5pIlBKqTiniUAppeKcJgKllIpzmgiUUirOaSJQSqk4p4lAKaXinCYCpZSKc5oIlFIqzmkiUCpOHTtazu6NBRQdPmF1KMpiOuWQUnFk3ZK9rFywk4pjHrxeH063Ha/H0LlfGldMOxun2376nahWRxOBUnHitd8vp/BA7W//lWX+Cen3byniy7m5jJw8sMH7q6qq4v2/rOHQjhJEoP/wLEZNHhTRmFV0aNOQUnFg++r8ekmgJq/Hx9YVh/B6fSHXqamqqorp//4Vh7aXgAHjg9yvDzH9l0siFLGKJk0ESsWBnI93nHYdnw98noZNVPXe/64OWl5V7mPT1/sbE5qKAZoIlIoDYpfTrpOeldTgPoLDu0pDLlv+3vYGx6VigyYCpeLAhTf0C71QwOGycdmPz2j4Dk+RV2wNSDoqtmgiUCoOdO6bRtcz0+uV2502zrq4Mzc/MoxOfdMavL8+57ULuWz0ndph3NKENWpIRDKA14GewE78k9cfrbPOecCzQFvAC/zBGPN6YFkvYC6QCawEbjXGVIYTk1IquHG/HMy+rUdZ9k4exmPIvqoXvc9r36R9jZ12Ds/9+2K8VbX7FNp1TaZzn7QIRKuiSYxpWOdQ0I1FngQKjTGPi8iDQLox5oE66/QHjDFmq4h0xv+BP8AYUyQibwDvGGPmishzwBpjzLOnO252drbJyclpctxKqchYvWg3K+fvxO6wM+qOAXQ9I8PqkNQpiMhKY0x2vfIwE0EucJkx5oCIdAKWGGNO2dAoImuACUAekA90NMZ4ROQC4L+MMZef7riaCJRSqvFCJYJw+wiyjDEHAs8PAlmnCWIY4AK24W8OKjLGeAKL9wJdTrHtVBHJEZGc/Pz8MMNWSil10mn7CERkEdAxyKJHar4wxhgRCVm9CNQYZgOTjTE+kcaNLDDGTAemg79G0KiNlVJKhXTaRGCMGRVqmYgcEpFONZqGDodYry3wEfCIMWZ5oLgASBMRR6BW0BXY1+gzUEopFZZwm4bmAZMDzycD79ddQURcwLvALGPMWyfLjb9zYjH+/oKQ2yullGpe4SaCx4HRIrIVGBV4jYhki8iLgXVuAi4BbheR1YHHeYFlDwD3iUge/j6DGWHGo5RSqpHCGjVkFRHJB3ZZHUdAO+CI1UFEkJ5PbGtN59OazgVaxvn0MMbUu3ikRSaCWCIiOcGGY7VUej6xrTWdT2s6F2jZ56O3mFBKqTiniUAppeKcJoLwTbc6gAjT84ltrel8WtO5QAs+H+0jUEqpOKc1AqWUinOaCJRSKs5pImgAEckQkYUisjXws/4MH/715otIkYh8WKe8l4h8IyJ5IvJ64GpryzTifCYH1tkqIpNrlC8RkdwaFwh2iF701TGMDcSQF7gFet3l7sDvOi/wu+9ZY9lDgfJcETnt3W6joannIyI9RaSsxt/iuagHH0QDzucSEflORDwiMqHOsqDvOyuFeT7eGn+fedGLuhGMMfo4zQN4Engw8PxB4IkQ640ErgE+rFP+BjAx8Pw54O5YPx8gA9ge+JkeeJ4eWLYEyLYwfjv+O9j2xn832zXAwDrr3AM8F3g+EXg98HxgYH030CuwH7vFf49wzqcnsN7K+Jt4Pj2Bc4BZwISGvO9a4vkElh2z+m9yuofWCBpmHDAz8HwmcF2wlYwxnwG1ZvUW/21WRwAn77MUcvsoasj5XA4sNMYUGv+scwuBsdEJ77SGAXnGmO3GP6PdXPznVFPNc3wLGBn4W4wD5hpjKowxO/DPizEsSnGHEs75xKLTno8xZqcxZi3gq7NtLL7vwjmfFkETQcM0at6FOho170KUNOR8ugB7aryuG/fLgaruby34QDpdbLXWCfzui/H/LRqybbSFcz4AvURklYh8ISIXN3ewDRDO77il/n1OJSEwl8pyEbkuopFFSFhzFrcmkZp3IVY08/n82BizT0TaAG8Dt+KvEqvoOwB0N8YUiMgQ4D0RGWSMKbE6MFWtR+D/pTfwuYisM8ZsszqomjQRBJgIzLsQgiXzLkTgfPYBl9V43RV/3wDGmH2Bn6UiMgd/1TmaiWAf0K1ObHV/pyfX2SsiDiAV/9+iIdtGW5PPx/gboSsAjDErRWQb0B+wci7XcH7HId93FgrrPVPj/2W7iCwBBuPvc4gZ2jTUMKeddyGUwD9qrM270JDzWQCMEZH0wKiiMcACEXGISDsAEXECVwProxBzTSuAfoHRWC78nad1R2PUPMcJwOeBv8U8YGJgFE4voB/wbZTiDqXJ5yMi7UXEDhD4xtkPfwerlRpyPqEEfd81U5wN1eTzCZyHO/C8HXAhsLHZIm0qq3urW8IDf1vsZ8BWYBGQESjPBl6ssd5XQD5Qhr8d8fJAeW/8HzZ5wJuAu4Wcz5RAzHnAHYGyZGAlsBbYAPwVC0bdAFcCW/B/s3okUPYocG3geULgd50X+N33rrHtI4HtcoErrH5/hXM+wA2Bv8Nq4DvgGqvPpYHnMzTwP3Icf01tw6ned1Y/mno+wA+BdfhHGq0D7rT6XII99BYTSikV57RpSCml4pwmAqWUinOaCJRSKs5pIlBKqTiniUAppeKcJgKllIpzmgiUUirO/X9aJOD3NDd7sQAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X1_ren[:, 0], X1_ren[:, 1], c=colors)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x296f0d3d0>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X_hhe[:, 0], X_hhe[:, 1], c=colors)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x296f69ac0>"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAD4CAYAAADvsV2wAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8qNh9FAAAACXBIWXMAAAsTAAALEwEAmpwYAAATZ0lEQVR4nO3df4ydV53f8fdnxh6zJQ62E8dk7RCnJFHJpiSU24ifJVoCShaUQOlC0l1toDTRCpAqtVRNlYpKoEqwEbu0In+sF6omSFUg6S62RCgYL2grhLeelGBIrMSxScCJIQPJhrrG8fz49o+5hom5/jG+d+51fN4v6Wqe85wzz/me8fgzj8+9d5yqQpJ05hsbdQGSpOEw8CWpEQa+JDXCwJekRhj4ktSIZaMu4FjOPffc2rhx46jLkKQXlQceeOBnVbW2V99pG/gbN25kcnJy1GVI0otKkieO1eeWjiQ1wsCXpEYY+JLUCANfkhph4Esameeee47HH3+cAwcOjLqUJpy2r9KRdOaanp7mvvvuY8+ePYyPjzM7O8sVV1zBO97xDsbGvA9dKn5lJQ3dV7/6Vfbs2cPMzAzPP/88MzMz7Ny5k+3bt4+6tDOagS9pqGZnZ9m5cyczMzMvOD89PW3gLzEDX9JQzczMMDc317Pv0KFDQ66mLQa+pKFasWIFq1ev7tl34YUXDrmathj4kobune98J8uXLycJAGNjY6xYsYK3v/3tI67szOardCQN3UUXXcQtt9zCt7/9baamptiwYQNveMMbWLVq1ahLO6MZ+JJG4rzzzuPd7373qMtoils6ktQIA1+SGmHgS1IjDHxJaoSBL0mNMPAlqREGviQ1YiCBn+TaJI8keSzJbccY894kDyd5KMl/H8S8kqST1/cbr5KMA3cCbwP2ATuSbKmqhxeMuQT498Abq+rZJOf1O68kaXEGcYd/FfBYVe2tqsPAPcANR425Bbizqp4FqKqnBzCvJGkRBhH464EfL2jv655b6FLg0iTfTrI9ybW9LpTk1iSTSSanpqYGUJok6YhhPWm7DLgEuBq4CfiLJKuOHlRVm6qqU1WdtWvXDqk0SWrDIAL/SeCCBe0N3XML7QO2VNV0Vf0QeJT5HwCSpCEZRODvAC5JclGSCeBGYMtRY77M/N09Sc5lfotn7wDmliSdpL4Dv6pmgI8AXwN2AV+qqoeSfDzJ9d1hXwN+nuRh4JvAv62qn/c7tyTp5KWqRl1DT51OpyYnJ0ddhiS9qCR5oKo6vfp8p60kNcLAl6RGGPiS1AgDX5IaYeBLUiMMfElqhIEvSY0w8CWpEQa+JDXCwJekRhj4ktQIA1+SGmHgS1IjDHxJaoSBL0mNMPAlqREGviQ1wsCXpEYY+JLUiIEEfpJrkzyS5LEktx1n3HuSVJKe/9+iJGnp9B34ScaBO4HrgMuAm5Jc1mPcSuBfAX/b75ySpMUbxB3+VcBjVbW3qg4D9wA39Bj3CeBTwKEBzClJWqRBBP564McL2vu6534lyT8CLqiqrxzvQkluTTKZZHJqamoApUmSjljyJ22TjAF/CvybE42tqk1V1amqztq1a5e6NElqyiAC/0ngggXtDd1zR6wELge+leRx4HXAFp+4laThGkTg7wAuSXJRkgngRmDLkc6qeq6qzq2qjVW1EdgOXF9VkwOYW5J0kvoO/KqaAT4CfA3YBXypqh5K8vEk1/d7fUnSYCwbxEWq6n7g/qPOfewYY68exJySpMXxnbaS1AgDX5IaYeBLUiMMfElqhIEvSY0w8CWpEQa+JDXCwJekRhj4ktQIA1+SGmHgS1IjDHxJaoSBL0mNMPAlqREGviQ1wsCXpEYY+JLUCANfkhph4EtSIwYS+EmuTfJIkseS3Naj/18neTjJziTbklw4iHklSSev78BPMg7cCVwHXAbclOSyo4Z9F+hU1auB+4A/6XdeSdLiDOIO/yrgsaraW1WHgXuAGxYOqKpvVtXBbnM7sGEA80qSFmEQgb8e+PGC9r7uuWP5IPDVXh1Jbk0ymWRyampqAKVJko4Y6pO2Sf4Q6AB39Oqvqk1V1amqztq1a4dZmiSd8ZYN4BpPAhcsaG/onnuBJNcAtwNvqarnBzCvJGkRBnGHvwO4JMlFSSaAG4EtCwckeQ3w58D1VfX0AOaUJC1S34FfVTPAR4CvAbuAL1XVQ0k+nuT67rA7gLOAe5M8mGTLMS4nSVoig9jSoaruB+4/6tzHFhxfM4h5JEmnznfaSlIjDHxJaoSBL0mNMPAlqREGviQ1wsCXpEYY+JLUCANfkhph4EtSIwx8SWqEgS9JjTDwJakRBr4kNcLAl6RGGPiS1AgDX5IaYeBLUiMMfElqxED+i8PTyf79+3nyySdZuXIlF198MePj46MuSVLjDh48yKOPPsovf/lLnvrhPmb3/l/WzbyMB5/fzo4V3+PQb53NdQcPcVNt5yVMMzYG3Hgv/IO3D7SOgQR+kmuB/wyMA5+rqk8e1b8CuBt4LfBz4H1V9fgg5j5idnaWe++9lz179lBVjI2NsWLFCj7wgQ+wZs2aQU4lSSft+9//Pps3b2Zubo6aLcYZo5jj7rX/g30vfZJU+O2ZH3Hd4adZMTtLCqog9/w+/NZ58O92D6yWvrd0kowDdwLXAZcBNyW57KhhHwSeraqLgT8DPtXvvEfbsWMHe/bsYXp6mpmZGQ4fPsyBAwe49957Bz2VJJ2UAwcOsHnzZmZmZpibnaNSzGSWvSsfZ99Ln2R2bJaZ8Rn+wzPPcN7sLONAMv8A4JdPw1MPDqyeQezhXwU8VlV7q+owcA9ww1FjbgDu6h7fB7w1+dWSBuKBBx5genr6BeeqiqmpKZ577rlBTiVJJ2XXrl0cibrw68jbu3Ivs2OzAPy9uTk6h54/9nbLvf9iYPUMIvDXAz9e0N7XPddzTFXNAM8B5xx9oSS3JplMMjk1NbWoImZnZ3ueT3LMPklaSrOzs8zNzf3m+fw6k5bVCS4yfXBg9ZxWr9Kpqk1V1amqztq1axf1uZdffnnPJ2hf+tKXsnr16kGVKEkn7dJLL/3VHX7x62R/xYFXMDY3H7+/GB9jz8RyfvPHQtc7Pj2wegYR+E8CFyxob+ie6zkmyTLgZcw/eTswb3zjGznnnHOYmJgAYHx8nImJCd7znvcw4N0jSTopa9as4U1vehPLly+HQCqMVXjlL17JqsMvY3xu/ib1P56zmv+XcOS+vxbe9b/qHQOrJ1Un+vfECS4wH+CPAm9lPth3AP+8qh5aMObDwD+sqj9OciPwT6vqvce7bqfTqcnJyUXVMjMzw65du3jiiSdYtWoVV1xxBStXrlzskiRpoJ566il+8IMf8Mwzz/DsE1O85MAYvz27iofGJvmf5/wfzqqz+dAvfsLVtZtxav5J25e/Fv74rxc9V5IHqqrTs6/fwO9O8HvAZ5h/WeZ/rar/lOTjwGRVbUnyEuALwGuAZ4Abq2rv8a55KoEvSa07XuAP5HX4VXU/cP9R5z624PgQ8PuDmEuSdGpOqydtJUlLx8CXpEYY+JLUCANfkhph4EtSIwx8SWqEgS9JjTDwJakRBr4kNcLAl6RGGPiS1AgDX5IaYeBLUiMMfElqhIEvSY0w8CWpEQa+JDXCwJekRhj4ktSIvgI/yZokW5Ps7n5c3WPMlUm+k+ShJDuTvK+fOSVJp6bfO/zbgG1VdQmwrds+2kHgj6rqd4Brgc8kWdXnvJKkReo38G8A7uoe3wW86+gBVfVoVe3uHj8FPA2s7XNeSdIi9Rv466pqf/f4J8C64w1OchUwAew5Rv+tSSaTTE5NTfVZmiRpoWUnGpDkG8DLe3TdvrBRVZWkjnOd84EvADdX1VyvMVW1CdgE0Ol0jnktSdLinTDwq+qaY/Ul+WmS86tqfzfQnz7GuLOBrwC3V9X2U65WknTK+t3S2QLc3D2+Gdh89IAkE8BfAXdX1X19zidJOkX9Bv4ngbcl2Q1c022TpJPkc90x7wX+CfD+JA92H1f2Oa8kaZFSdXpulXc6nZqcnBx1GZL0opLkgarq9OrznbaS1AgDX5IaYeBLUiMMfElqhIEvSY0w8CWpEQa+JDXCwJekRhj4ktQIA1+SGmHgS1IjDHxJaoSBL0mNMPAlqREGviQ1wsCXpEYY+JLUCANfkhph4EtSI/oK/CRrkmxNsrv7cfVxxp6dZF+Sz/YzpyTp1PR7h38bsK2qLgG2ddvH8gngb/qcT5J0ivoN/BuAu7rHdwHv6jUoyWuBdcDX+5xPknSK+g38dVW1v3v8E+ZD/QWSjAGfBj56oosluTXJZJLJqampPkuTJC207EQDknwDeHmPrtsXNqqqklSPcR8C7q+qfUmOO1dVbQI2AXQ6nV7XkiSdohMGflVdc6y+JD9Ncn5V7U9yPvB0j2GvB96c5EPAWcBEkgNVdbz9fknSgJ0w8E9gC3Az8Mnux81HD6iqPzhynOT9QMewl6Th63cP/5PA25LsBq7ptknSSfK5fouTJA1Oqk7PrfJOp1OTk5OjLkOSXlSSPFBVnV59vtNWkhph4EtSIwx8SWqEgS9JjTDwJakRBr4kNcLAl6RGGPiS1AgDX5IaYeBLUiMMfElqhIEvSY0w8CWpEQa+JDXCwJekRhj4ktQIA1+SGmHgS1IjDHxJakRfgZ9kTZKtSXZ3P64+xrhXJPl6kl1JHk6ysZ95JUmL1+8d/m3Atqq6BNjWbfdyN3BHVb0KuAp4us95JUmL1G/g3wDc1T2+C3jX0QOSXAYsq6qtAFV1oKoO9jmvJGmR+g38dVW1v3v8E2BdjzGXAn+X5C+TfDfJHUnGe10sya1JJpNMTk1N9VmaJGmhZScakOQbwMt7dN2+sFFVlaSOMcebgdcAPwK+CLwf+PzRA6tqE7AJoNPp9LqWJOkUnTDwq+qaY/Ul+WmS86tqf5Lz6b03vw94sKr2dj/ny8Dr6BH4kqSl0++Wzhbg5u7xzcDmHmN2AKuSrO22fxd4uM95JUmL1G/gfxJ4W5LdwDXdNkk6ST4HUFWzwEeBbUm+DwT4iz7nlSQt0gm3dI6nqn4OvLXH+UngXy5obwVe3c9ckqT++E5bSWqEgS9JjTDwJakRBr4kNcLAl6RG9PUqHUk6VQcPHuR73/seP/vZz1i/fj2XX345ExMToy7rjGbgSxq6qakpPv/5zzM7O8v09DQ7d+7kW9/6FrfccgsrV64cdXlnLLd0JA3d5s2bOXToENPT0wBMT09z4MABtm7dOuLKzmwGvqShOnz4ME899dRvnJ+bm+ORRx4ZQUXtMPAlDdXY2LFjZ3y8529O14AY+JKGatmyZVx88cW/Efzj4+NceeWVoymqEQa+pKG7/vrrWb16NRMTEyxfvpzly5ezfv16rr766lGXdkbzVTqShu6ss87iwx/+MD/84Q959tlnWbduHRs2bCDJqEs7oxn4kkZibGyMV77ylaMuoylu6UhSIwx8SWqEgS9JjTDwJakRBr4kNSJVNeoaekoyBTwx6jpG4FzgZ6MuYkRce3taXTcs3dovrKq1vTpO28BvVZLJquqMuo5RcO3trb3VdcNo1u6WjiQ1wsCXpEYY+KefTaMuYIRce3taXTeMYO3u4UtSI7zDl6RGGPiS1AgDf8SSrEmyNcnu7sfVxxj3J0keSrIryX/JGfB7ZBex9lck+Xp37Q8n2TjkUgfuZNfeHXt2kn1JPjvMGpfCyaw7yZVJvtP9ft+Z5H2jqHVQklyb5JEkjyW5rUf/iiRf7Pb/7VJ+fxv4o3cbsK2qLgG2ddsvkOQNwBuBVwOXA/8YeMswi1wiJ1x7193AHVX1KuAq4Okh1beUTnbtAJ8A/mYoVS29k1n3QeCPqup3gGuBzyRZNbwSByfJOHAncB1wGXBTksuOGvZB4Nmquhj4M+BTS1WPgT96NwB3dY/vAt7VY0wBLwEmgBXAcuCnwyhuiZ1w7d2/HMuqaitAVR2oqoNDq3DpnMyfO0leC6wDvj6cspbcCdddVY9W1e7u8VPM/4Dv+c7RF4GrgMeqam9VHQbuYf5rsNDCr8l9wFuX6l/wBv7orauq/d3jnzD/l/sFquo7wDeB/d3H16pq1/BKXDInXDtwKfB3Sf4yyXeT3NG9a3qxO+Hak4wBnwY+OszCltjJ/Jn/SpKrmL/R2bPUhS2R9cCPF7T3dc/1HFNVM8BzwDlLUYz/49UQJPkG8PIeXbcvbFRVJfmN18kmuRh4FbChe2prkjdX1f8aeLED1u/amf8efTPwGuBHwBeB9wOfH2ylgzeAtX8IuL+q9r2YnrIZwLqPXOd84AvAzVU1N9gq22TgD0FVXXOsviQ/TXJ+Ve3vfoP32p9+N7C9qg50P+erwOuB0z7wB7D2fcCDVbW3+zlfBl7HiyDwB7D21wNvTvIh4CxgIsmBqjrefv/IDWDdJDkb+Apwe1VtX6JSh+FJ4IIF7Q3dc73G7EuyDHgZ8POlKMYtndHbAtzcPb4Z2NxjzI+AtyRZlmQ580/YnglbOiez9h3AqiRH9nB/F3h4CLUttROuvar+oKpeUVUbmd/Wuft0D/uTcMJ1J5kA/or59d43xNqWwg7gkiQXddd1I/Nfg4UWfk3+GfDXtVTviK0qHyN8ML9Xtw3YDXwDWNM93wE+1z0eB/6c+ZB/GPjTUdc9rLV3228DdgLfB/4bMDHq2oe19gXj3w98dtR1D2PdwB8C08CDCx5Xjrr2Ptb8e8CjzD8PcXv33MeB67vHLwHuBR4D/jfw95eqFn+1giQ1wi0dSWqEgS9JjTDwJakRBr4kNcLAl6RGGPiS1AgDX5Ia8f8BYj1jfsn13SsAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X1_hhe[:, 0], X1_hhe[:, 1], c=colors)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3.8.11 64-bit ('miniconda3')",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.11"
  },
  "orig_nbformat": 2,
  "vscode": {
   "interpreter": {
    "hash": "f15750eacfad45370a825bf4dd6659eb538f31055a6b07f7abe9a87697d13973"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
